Yes it is possible but there is a BIG
As you could expect Windows does not give a damn about other operating systems so grub will be destroyed.
Luckily that's easy to fix.
Boot the live cd and follow the instructions in the wikihttp://www.linuxmint.com/wiki/index.php ... _your_grub
Of course read it at least once first and write down the number of your present Mint partition. This is simple and I've done it several times (not because of Windows though)