Absolutely. In fact, track racing was the way I got started riding fixed and at the relatively advanced age of 34. I had been road racing for about 5 years prior to that, so by the time I started track racing I was a Cat 2 on the road. The USCF had just reduced the starting age for master's from 40+ to 35+ and so I had an easy transition into master's racing. Concurrently, I set up a cheap 10-speed conversion as a suicide hub FG with low 60-64 gearing for winter training. Right now is track off season, and my winter training consists of a combination of gym work, trainer, rollers and road.