No.
And the "is there a doctor on board" is no fun either. Extra stress, and, if you are a specialist, you will probably be quite clueless about what to do. And I've never been invited up to the first class cabin after dealing with a situation (I have gotten a bag full of little airplane liquor bottles).
Furthermore, you may find yourself burning extra money to buy refundable tickets. I don't like the stress about worrying about making a flight and having to work late to deal with something (or being called to get back early; or missing the trip altogether).
And no corporate rates for business/first seats. Indeed, very few perks, unless you sell out to a pharmaceutical or device company (I recommend you think about doing that, if you can stomach it.).
Even if you get to be professor and chief of your department at an Ivy League institution, develop an international reputation in your field, and get invited to be a visiting professor or honored guest at a conference, expect to be reimbursed for coach travel. You can try to upgrade with your miles or pay out your own pocket.
If you develop a lucrative practice, you may be able to justify buying business class yourself (for long, overnight flights) if it gets you back in the office working (read: doing surgery or other procedures) a day earlier. Most office expenses are fixed costs, so that extra day of productivity at the margin may make it worthwhile.