you can definitely make it. i'm in college and at the start of second semester (late january) last year i weighed 162. by the end of the semester (mid-may) i got up to 174. so i got close to the gain you're looking for. i lifted 5 days a week and just made sure i ate a sh*t ton of food. but yeah man...
you can do anything you put your mind to.
how tall are you by the way?