Wouldn't hurt to try would it.
A cabinet brace might be a useful addition for the 23" dimension.
Do you have any thoughts on drivers, you will need to look for a pair of drivers that will work happily in that volume.
I haven't had any experiences of any drivers less than 5" midwoofers, so not easy to make suggestions for you.
Maybe Planet10 could make some suggestions mark audio, Sb acoustics or Peerless 3 full rangers.