I think simply "no".
The "accept rate" for question is only on the user's side. The percentage of accepted answers means nothing, as it relies only on what the person who asked a question does, not the person who answered. Many times questions remain not marked as answered, even though there are highly voted answers.
And the fact an answer is not accepted doesn't mean it's a bad one, just that it wasn't the one accepted by the question author. So in general, such percentage would show nothing.
Edit : Eventually a ratio based on reputation per answer/question posted would make more sense, but it would still be highly biased.
Edit 2 : Thinking more about it, in fact, there is another issue. The "accepted" answer doesn't mean this answer is the best in quality (as finally the proposed percentage would suggest), but simply that this answer was actually working for the person who asked. I often see great quality answers, detailed, precise, which are not accepted, for example simply because the person who asked the question forgot to mention a fact which makes this answer invalid, compared to a one-liner on the same question, which would actually give the correct solution.
I agree that there is no reason to accept an answer which doesn't solve the problem asked. But on the same way, I can't see such "accepted answers"/"total answers" ratio be an indicator of quality. It simply means that this user managed to give answers that people chose to accept.
My main concern, in fact, is that in the end, such ratio would increase the effect from the question ratio. The question one would already push people to not lose time answering someone "not likely to accept". But such "answer ratio" would push people to not answer too much unless they are sure it will be accepted. so finally, it will become that once someone will post an answer which looks like "the one", people would be less likely to add an answer (which could add details, or another worthy solution), since it would only decrease their ratio....
(I'm not saying everyone would react like that, far from it, but it's on the same idea as the "question ratio" concerns.)
Edit 3 (answer to comment) : Why would you answer a question if you don't think that the OP would like your answer?
There is more than "the accepted answer" and "bad answers". There can be several good answers to a question, but only one will be accepted. Typically, if someone is asking for the best way/program to do a task, the fact that the question's author accept one answer doesn't mean all other answers are worthless.
More than this fact, on questions where I see that the correct answer has been posted (or even already accepted), I add an alternative solution if I have one, for the sake of exchanging knowledge.
In the end, such ratio would influence people to simply leave a question as soon as an answer has been accepted. The goal of these sites is not only to provide a single answer to a particular person, but also to provide solutions to someone else finding the question by some Internet search. And maybe this someone would prefer an alternative solution, than the one "accepted" by the original author.