Do you think it's wrong to try to knock my friend down a peg for becoming an EMT
Are you afraid that he will outshine you?
Yes it's fucking annoying, why should I have to put up with him being a hero of sorts?
While I think it is a normal behavior to be jealous of your friends accomplishments, what he is doing is noble and outstanding, and you should not be jealous of that nor make it feel like a burden for you. How about you join him in being an EMT, so that you both can be considered heroes by the community.
Nah, I'm going to talk shit behind his back and make him feel bad. I'll just be better than him by being a doctor.
You shouldn't try to make him feel bad by belittling his accomplishments. You should feel proud about what he's managed to do and brag about him. When you accomplish something great he'll feel the same for you.