Yes.I cruised on Legend of the seas, and you would have needed traffic lights for the wheelchairs! Everybody enjoyed themselves. GO AHEAD.
The answer is generally yes, disability takes so many forms it is fairly difficult to certain about everything but I have found that most cruise ships are aware of most of the needs of disabled people and even extreme cases are surprisingly well catered to. This may be because American thinking is well in front of most other countries with the possible exception of Sweden. If you think you might have a problem them tell them and I'm sure that you will have as good a holiday as anyone on board. On my last cruise there was a group of audibly challenged cruisers and they were having a better time than me and that took some doing I can tell you....Go for it....regards Nei.
The answer to your question is most definitely YES.
I was in a party of 6 on a cruise around the Western Med in July/August and as the designated carer for my disabled wheelchair bound brother, we found the ship - Thomson Celebration - very disabled friendly.
The Celebration have 4 cabins designated on deck 7 for disabled passengers right under the bridge, so the views from the cabin windows were fantastic.
My brother thoroughly enjoyed himself onboard the cruise ship, so much, that he only went ashore once and that was in Barcelona.
I say GO FOR IT, you won't regret it.