I don't know if there is any way to capture accurate statistics. But you can gather you own limited sample by looking at a rosters majors.
One of the first discussions any coach is going to have with an incoming player is about possible majors and time commitments. Its not impossible to do engineering or pre med or sports med or other sciences. But those require a heavy load of labs and field time. Those labs interfere with practice and games. Coaches usually frown upon missing those. I personally know exactly 1 kid doing a pre med program. He is way smart and way focused and way organized. I personally know exactly 0 kids attempting engineering. You will see lots of business, communications, criminal justice, education, etc. from athletes.
Rich