Oh, go for it. I mean, this is a writing prompt, you're writing for fun. I do think it's important to consider connotations of names though, as you can't really control them - so for instance I'd be unwilling to name a character Adam unless I was okay with people possibly linking in Biblical references in their head. Adam especially is a very Biblical name, in my head on the same level as David, Daniel, and the angel names - Gabriel, Ezekiel, and so on.

Personally, I really like Biblical names on the whole. Right down to Belshazzar and Hezekiah. It's just that using them might elicit something out of your readers that it might be good to have an awareness of. I'm not even Christian - just raised that way, so it's sort of seeped into my bones.

Plus having a working knowledge of Christianity is really helpful if you're going to explore Western lit.

And this doesn't apply just to Biblical names of course - Christabel, for instance, is non-Biblical, but you won't be able to use it without anyone with a working knowledge of literature immediately going back, mentally, to Coleridge.