Absolutely possible, yes! If it's a book you're after, I found the Bodysculpting Bible does a fairly nice introduction to full body dumbell training.
Good form is very important, so if you're ever unsure, YouTube is a useful resource to check. You'll soon tell from the "likes" and comments whether someone is doing it right!
If you're limited with money, I'd definitely say just stick with your dumbells for now and save a bar for later. Once you have a bar, you ideally need a stand for it too, and larger weight plates for things like deadlifts... initial cost can quickly mount up!
Hope that helps.