Yes, lots of them. This is shown below
There is a theorem, called the fundamental theorem of arithmatic. Amongst other things it says that any whole number can be written as the product of primes. If we chose a number x, we can write it as this product of primes.
Now consider 
and much more interestingly 
.
As you can see is a square number divisible by 9. I've just realised we didn't actually need the stuff about the primes, but it's good to learn something new everyday :D
For your enjoyment, here are three really big square numbers divisible by 9 that I worked out
- 290865928967208697537677954155146591215027084823761634916418981868464451672735642563258575025
- 377757024764443692555739771423286715885160196068990002369
- 287239467617910266150742450417499640849213343093880946478917496351351184155930613119360893088100381830756
Hope that helps
Kev
(