Is there a limit to how good someone can get at golf?
I've been playing more or less casually since I was 12 or 13. At my best I was probably around a 5 handicap and at my worst I was probably around a 13 handicap (through I didn't have an actual handicap until last year). I decided to start golfing seriously a couple months ago. I joined a club and signed up with one of the top instructors in the state, who happens to be the teaching pro at the club I play at. I'm presently a 9.2, but that is likely a bit inflated as I haven't turned in scores in a while (I don't play competitively, so it hasn't been an issue) and I suspect I'm probably closer to a 7 or so. I putt every day on an indoor green in my office and try to get to the range and chipping green two to three times a week, including lesson days once a week, and try to play at least 9 holes at least once a week.
My question is whether it is reasonable to expect to get down to scratch in the next year or so. I mainly want to get better for my own satisfaction, but would eventually like to start playing some competitive golf. Is there a plateau that can't be overcome without some level of natural skill or is the sky the limit based on the amount of time and work a person puts in? I want to make sure I am not setting unreasonable goals and having unreasonable expectations (5 handicap by end of this year and scratch by the end of next year).
In the end, I love playing and find that getting out on the course by myself with headphones in is one of the most relaxing activities I've found, so I'm not going to be deterred from playing regardless of my skill progression, but I'd sure like to keep getting better and better.