Yes you can. You could break up your data access project, business logic project or web project into multiple projects for that matter. It's all about how much you want to re-use, where and when. I think you'll be interested in the following articles (by Robert Martin a.k.a. Uncle Bob):
An ABC on packages[
^].
They're taken from his website with more articles, like these ones on OOD (including the ones on packages):
SOLID[
^].
How you should split up and design your packages is up to you.
Hope it helps!