My general feeling is no -- it may certainly be part of an answer ("blah blah blah blah blah, but you should call your local FSDO as their interpretation is ultimately the one that will matter."), but it isn't something that can really stand on its own.
I think a question that can ONLY be answered by calling your local FSDO is probably not a quality question (at least as far as the site is concerned) until such time as the person asking contacts their FSDO and receives an answer.
I can't even think of anything offhand that I'd ask here where the only answer would be a call to the FSDO, but I envision it being something that would require them to issue a letter interpreting a regulation, or something similar.
The FSDO's answer would be the answer to the question, being an authoritative interpretation that could be cited as precedent, and that is certainly worth sharing, but the "You need to call your FSDO, and please tell us what they say!" bit would be a comment letting the person asking know that we can't give them a good answer, not an answer itself...