Theres no doubt you can do it. It would def push that boat better than a 7.5, and the weight wouldnt be that much of a difference since most 15's weigh the same as a 9.9, assuming youre not gonna load down the boat with a lot of other things. The problem would be with the law/game warden/police etc. or whoever checks for those sort of things in your part of the woods.
With the right 15, that little boat would be a rocket, and it may not be safe. Overall, I would not advise it.
Ive seen a few guys upgrade 25hp motors to 35hp, and their boat was only rated for a 25. They had no problems, but I couldnt make a judgement call on a smaller boat....I mean, thats a 100% increase in power stepping up from a 7.5 to a 15, and the guys I know are only adding 40% more power by going from a 25 to a 35
It might not be a good move...
Can you try the motor out before you buy it?