I don't see why not. And you can achieve a lot by working hard at it.
Why not shoot for Varsity? I know is a rare thing in most cases, but it doesn't hurt to set the bar high and work to try and achieve it. And I know that at your age when you look at Varsity players they look large, strong and intimidating. And they are large and strong compared to your age group. But that doesn't mean you can compete at their level. Your body is just starting to mature that way, so just be aware that you'll get there too. Just don't be intimidated and work hard on you game skills so that you might actually be the intimidatore when each time you leave the field and say "I'll be back." 
Next year, go a HS varsity game (like at the HS where you'll be going) and sit behind the backstop directly behind the catcher and ask yourself if you feel you can hit, catch, run and throw at that level. If you think of a lot of reasons why you can't, then you probably won't or can't. But if you think you can handle it, then there isn't good reason why you shouldn't have a good shot at it. Just don't give up on the the idea or your goals and you just might surprise yourself.
Work hard, have fun and I wish you the very best!