The short answer is Yes. Here are recent national statistics:

Program # of Applicants # of Positions % Admitted
M.D. 35,735 17,662 49%
D.O. 7,289 3,079 42%
Dental ~12,000 ~4,600 38%
Optometry 2,226 1,390 62%
Veterinary 4,453 2,576 58%