Yes, there are a few. North Dakota State University released Prairie Pioneer Dwarf Chinkapin Oak several years back but it has never caught on and I've never seen it for sale (maybe it is simply difficult to propagate). You can also get English Oak varieties in a smaller size (there are many of them listed). To my knowledge none of the smaller oaks are widely available in the trade.

you do understand.. that on a tree that cane get 60 to 80 feet tall .. a dwarf is not small ... its just takes lets say.. double the years to get huge ... so 200 hundred years.. vs 100 years.. lol ...

off color ones grow slower.. less chlorophyll ...

i dont have time for the names and pix right not .... the yellow one [concordia?] ... the white edged one ... the lace leaf ones ... any variegated ones ... and the curly leafed one.. all grow slower than the standard species ...

all are mail order plants that you will not find in local trade .. i suspect ...

i have no clue if they will live in your zone ...

ken

https://www.google.com/search?q=quercus+robur+concordia&biw=1004&bih=745&source=lnms&tbm=isch&sa=X&sqi=2&ved=0ahUKEwiR-tP6rP_MAhUMKFIKHWaRDaoQ_AUIBigB&dpr=0.9

https://www.google.com/search?q=quercus+robur+concordia&biw=1004&bih=745&source=lnms&tbm=isch&sa=X&sqi=2&ved=0ahUKEwiR-tP6rP_MAhUMKFIKHWaRDaoQ_AUIBigB&dpr=0.9#tbm=isch&q=quercus+robur+variegated+types

the one i always wanted and never got

http://dawesarb.arboretumexplorer.org/taxon-26561.aspx

guess i remembered the names

https://www.google.com/search?q=quercus+robur+concordia&biw=1004&bih=745&source=lnms&tbm=isch&sa=X&sqi=2&ved=0ahUKEwiR-tP6rP_MAhUMKFIKHWaRDaoQ_AUIBigB&dpr=0.9#tbm=isch&q=quercus+robur+general+polaski+

i cant recall the name for lance or lace leaf trees ... ken

Dwarf chinkapin oak, Q. prinoides, grows from 3-12 ft, rarely achieving the lofty height of 20 ft. If you can find acorns or seedlings...

The arboretum here has Mongolian oaks that were planted in the 1960's but look like small bur oaks (~30 ft tall and wide). The one I grew from collected acorns for my yard has grown 18" a year for the past 3 years.

Bear oak is a root-sprouting shrub oak, but never seen 'em sold. Would make a handsome hedge on sterile/poor/dry soil.

Why would you want one? Honestly, small oaks aren't that impressive. A huge mature oak has a certain majesty...but they are boring when small. They don't have flowers, don't produce anything we eat, usually don't have the best small color. If you want a small tree, plant a holly or serviceberry or something.

Do any exist? Sure, ever hear of the Golden Oaks? Q. chrysolepis, Q. vaccinifolia and Q. palmeri? These are evergreen oaks associated with the West Coast. In higher, exposed elevations some of them can even be groundcovery in habit. Will they flourish in eastern US, I don't know.

Ed, Im thinking about my mature water oak. It is hugh, but it would be cute to have the same tree 10x smaller. Its about 60x60. I want one that is maybe 20 ft tall by 10 wide. which i know will never happen lol .A small one would produce less acorns, and then maybe all these stupid squirrels would not be digging up my yard and potted plants!

"Why would you want one?"

Why climb a mountain? ..... Cause it's there! Come on Ed, I am beginning to think you are an imposter and not one of us true arbor-a-holics.

Dwarf Chinkapin Oak, I saw several of them recently growing in a dry, rocky site, some covered with greenbrier. They were very attractive, foliage is whitish underneath, tallest ones were 5 or 6' and producing acorns. I didn't see any insect or disease problems, appears to be a highly desirable, native shrub.

Many quercus species are better thought of as shrubs than trees. I think quercus turbinella is a nice small oak. Quercus pungens var. Vaseyana is nice