Each page – separate category & template – possible?

I did a search on this, but didn’t really find a conclusive answer as to whether this is actually possible.

Is it possible to create a blog which would be comprised of 5 or 6 different pages in addition to the index. Each page displays only posts from a certain category, and each page looks differently [a different theme? or just separately designed pages].

For example, page 2 displays only posts from category 2 and has design #2, page 3 displays only posts from category 3 and has design #3… etc.

Is this possible? If so, how difficult do you think it would be to implement? In very general terms, how would this be done?

[This is just an idea I have at this time. I’m wondering about the general direction I should take, so no need for in-depth how-to’s right now.]

Thanks for any ideas!! ??