As to your specific question, the chances are very good that if your business goals are reasonable you can indeed find a franchise that will be able to achieve them with your investment and hard work.
A successful franchisee needs to have three things and the hardest one to find is a factor that you're already demonstrating. The first key to success is knowing what your goals are--what result do you want to achieve through business ownership?
The second key to success is to be able to follow a proven system in order to achieve predictable results. That's the secret of a great franchisor--he has worked the bugs out of his system and so he doesn't need innovation, just execution. As long as you're comfortable with not reinventing the wheel everyday, a franchise system can be great for you.
The final factor is financial resources. Most franchise companies don't provide direct financing so you'll need to make sure that any franchise you pick is within the investment parameters you can afford.
As long as you've got these three factors going for you, you have the potential to be a very successful franchisee.