I don't know of a specific sequence but it should be possible - resting on elbows instead of hands for plank/side plank, substituting dolphin for down dog etc.
There is someone in my class who has the same problem and they do a version of down dog using the wall - standing with hands on the wall but forming the same angle if that makes sense, though that may not flow so well in a sequence!
Here you go - some other good advice on here too (pic of down dog against the wall about half way down). It might not look like you are doing much, but you get pretty much the same benefits. This pic doesn't show it but you can also get more of a stretch by getting your arms higher than your head.
I go to a class that is seated yoga. Apparently all yoga started off sitting down and it developed into standing and balances later. I don't remember doing much that involves pressure on wrists in that class. But it is very tough - lots of hip flexor stuff. It is on the floor though not on a chair.