Yes, if you google adjustable base bed, you'll see a lot of the pictures show the base with a platform style bed.

Look at Costco...they have a couple for decent price and you can't beat their guarantee. The adjustable portion fits inside your own bed frame. Some have adjustable leg heights, so you can level it with your surrounding bed frame. You just have to find a bed frame that will hold the adjustable base inside of it...it will look like a platform bed.