Ah, excellent question!^
First of all, I am in your age range and have been going to Do's for nearly three years now, so the simple answer is YES.
Before attending my first Do or meeting my first FT'er I asked myself the same question- is this really something I want to do? Wont the age difference be weird?
Over a dozen Do's, four continents of meeting hundreds of FT'ers later, I can most certainly say the answer is a resounding no. Actually, I think you'd be surprised by the size of the under 21 population here.
FT really is a diverse place with people of all backgrounds, ages, etc. Definitely give a Do a try, and if you don't like it (which I find hard to believe

), at least you tried!