Not really a good comparison for division (pothos vs peperomia). The answer is "probably yes" but the plant is terribly fragile and you could expect a degree of collateral stem and leaf damage. You could saw right through the rootball with a sharp clean knife - however until you remove it from the pot it will be difficult to know exactly where to do that. You would need to try to disturb the plant and the roots as little as possible and preferably make it a 2-man job with someone holding the plant and then dropping one half into a new pot and you backfilling. However, since it is such a nice plant right now, and set-back is probably likely, why not simply move it into a larger pot if you think it is cramped?

Agree, that is a gorgeous plant! Getting too dry could cause healthy-looking leaves to fall off. If that is what is happening, it would be much easier to tend your plant in a mix that can be kept reasonably moist w/o worrying about rotting the roots & leaves falling off - both defeat the purpose of bringing a gorgeous plant into ones' home. If one must let the soil get so dry that the plant exhibits signs of stress from getting that dry, just to avoid root rot, it's the fault of the soil, not the person tending the plant. What is necessary for plants to stay alive is for their roots to not rot, which can happen so easily in a pot with dense soils, like ground dirt, or bagged mixes of predominantly tiny particles of peat, (or to simply shrivel from simply never getting any water.) Having very little soil around the roots would make the soil dry more quickly, and for even the most dedicated plant-overwaterers to not rot the roots of their plants. This is not ideal, since most non-cactus plants are stressed by dry conditions, it's just a way of coping with soil that has little air in it when moist. Negative experiences in regard to potting-up, where an undisturbed root ball is placed into a bigger pot with more soil around it, vs. doing a repotting, as described below, can give rise to old wives' tales about plants not liking to be repotted/disturbed. Potting-up a root-bound plant that has roots surrounding the outside root ball often lead to this negative experience because those roots had adapted to accessing oxygen around the outside of the root ball and surrounding them with more dense, soggy-but-airless potting soil will likely lead to suffocation. The reason bonsai masters are able to keep potted entities alive for hundreds of years is because they care for the roots by trimming them and changing the soil. A plant grows from the roots-up, so if the roots are not healthy, gorgeous foliage will decline &/or no flowers can form. When you unpot a plant and find a pancake of roots at the bottom, chopping that off will give roots a chance to grow normally again for a while and will make removing the old soil easier. Roots need oxygen & moisture at the same time to function. Just air = shriveling. Just moisture = suffocation & rotting. Either will cause root death and dessicated foliage because the roots have been unable to deliver moisture. Having to let soil dry, as if ones' tropical jungle plant was a cactus, is an unnecessarily stressful coping mechanism for non-desert dwelling plants in soil without enough oxygen for the roots to stay healthy when it is moist and can lead to premature loss of older leaves and in extreme cases, dry shriveled roots/dead plant. The ability of roots to be able to function properly depends greatly on the soil structure/texture, which can change over time. Potting soil tends to be very dense, mostly peat, with very little air in it. Any kind of organic ingredients decompose into smaller bits over time, and roots fill air spaces over time as they grow through soil. Replacing soil periodically is usually necessary to keep plants healthy because of these reasons. A more porous, chunky, airy soil (like cactus/palm, if one is buying bagged,) can have more air in it even when it is moist because there is space between the particles. When there are tiny particles of any kind in a pot, such as peat, sand, silt, clay, they filter into all of the tiny spaces in a pot, eliminating the air. "Overwatering" is the label and manifestation when roots have suffocated and/or rotted, combo of both. Over time, organic bits decompose into smaller bits, so even the "best" soil, if it has organic components, will need to be replaced when this happens. The speed at which this happens depends on many variables, but on average, about 1-3 years.

Sorry to say this but it's very leggy which makes it sickly. Leggy, spindly cuttings don't have good odds or surviving. Of course, you can try, I just don't know where to tell you to take the cuttings from or where to cut. Sadly, no, that lightling doesn't help see the story. I'd guess it would have to be cut below the nodes, as cutting above the nodes would accomplish nothing as far as I can tell.

@Elena Nuta yes I believe you do have thrips! they are such a bummer! BUT, do not fear. they are pretty easy to get rid of. Here's what I did and it was really successful: 1) isolate the plants on your naughty list to make sure the pests don't spread 2) give them a nice luke warm spray down in a sink or shower. with fragile leaves as seen on peperomia, i usually don't get really aggressive with the pressure. 3) get some neem oil spray (smells so terrible - like rotten peas) and coat the leaves weekly (should be doing this anyways for all of your plants) boom! they will be gone! you could technically skip straight to the neem oil, but giving teh plants a good spray down cleans off any dust and junk left behind by the bugs. i hope this works out for you! also, the rubbing alcohol should work. be careful with it though, because it isn't so great for the leaves. Good luck!! :)