I'd answer yes to both of those questions. You CAN do both styles, but you SHOULD focus on one primarily. Typically artists have many interests and styles. That doesn't mean all of them should be shown, but you can do any thing that you want.
At one point after graduating art center, I had three separate websites. One was for concept design, one was for figure drawing/painting, and the third was for children's book work. They didn't even link to each other. When a client comes to my site, I want them to think that is the only thing I do. I want them to feel as if they are buying that specialization.
If a site has all sorts of work and styles, it can be confusing to art buyers. It's also very hard to be a "pro" at each thing. It was an exhausting time in my life to work in those three areas at the same time. But it's what I had to do to get a start in the this business.
