Casually? Yeah, not a problem.
A serious relationship? It'd need to progress from a casual one, and it'd depend a lot on who they are as a person, exactly what 'bimbo' sort of characteristics they have, and who exactly who they are. For example, a lot of a time my partner ATM isn't the brightest. She's not stupid by any means, but she often just neglects to think about some things, ends up fairly clumsy at times, and is all round a little absent minded. She is intelligent though, and in terms of knowledge and skills in her area of expertise she's pretty well-versed, and her personality beyond the high level superficial stuff you mention in the OP is lovely.
It really depends on the person themselves though, more than whether or not that fit the definition of 'bimbo'. That said the outgoing party focused people really just rub me the wrong way, and I would struggle to date them unless it was handled well, but even then it can be handled well.