Definitely. I've seen lots of examples where it looks great and provides a nice, blank canvas for everything else in the space. There will be a subtle difference just because of the sheen difference.

I would paint the walls and trim the same color in our basement if my husband didn't have a preference, but he likes more of a perceptible contrast between trim and walls.

I personally love that look and tend to do it even with darker color. Then your doors can be white, wood, etc. what that does is visually clean up the space. Your eye does not see the room ‘trimmed’ in white (or wood). It can make spaces appear larger. It can also take a very traditionally trimmed/paneled room into a more contemporary realm.
https://www.visualjill.com/trim-trends/

We did a guest house In a warm white this way when repainting a few years ago, including kitchen cabinets and a small dresser. It isn’t cold or stark, this is a cottage not a modern house and lots of color In furnishings, currently red-white-blue. it looks better this way than when the trim and walls were contrasting before (It used to be a darker “antique white” beige on the walls w/white trim).

Same color, different sheen in our old home. I loved it.

I have seen that look and liked it but I am more of a monochromatic person... right or wrong.