Of course you can!
On the flip side, my daughter wanted me to make a quilt for a friend of hers that was always cold (she was a tiny li'l thing and ate like a horse... wish I could!) Anyway, she had a thick fluffy quilt from her grandma that wasn't warm enough, so I used batting, and fleece as the backing, and binding. Tied it. Yes it was bulky, but, she loved it! anything you can dream, you can do!