I don't see why not, except I think it would depend on the type of tulip. Most of the newer hybrids only flower two or 3 years in my experience.
I'm in a similar situation. I have tulips growing in shade on the side of the house which I planted 2 or 3 years ago. They were lovely the first year, but the deer discovered them, and they are chomped down to the ground every spring. I was thinking of transplanting them, but like I said, the lifespan isn't that long, so why bother.
On the other hand I would move one of the older hybrids, or a species tulip once they were finished blooming.
My deer food ... sigh.
