College Staff Taking Classes and Doing Research
Well, your request would certainly be unusual for most faculty members, but that also doesn't mean it wouldn't be accepted!

The main challenge would be if you were looking to be paid for the work. Under such circumstances, it might be much more challenging to get involved with projects, because the funding mechanisms (such as NSF REU grants, which fund many undergraduate research projects) would not be available to fund you (since you're not an undergraduate student!). 

However, if you're just looking to do it for the research experience, I think the biggest obstacle would be convincing a potential advisor that you're serious. I would recommend then that you make an in-person appointment, rather than trying to set something like this up via email.