Hello Dante, I believe the answer to your question is no. The drive you are asking about is 15mm tall and Everymac states your computer is limited to 9.5mm tall. I am including the link to Everymac's upgrade sheet for your computer. Hope this info is a help to you.
http://www.everymac.com/systems/apple/macbook_pro/macbook-pro-unibody-faq/macbook-pro-13-15-17-mid-2009-how-to-upgrade-hard-drive-ssd.html