Some things are possible depending on command and billet. But in no way will you ever be a "shooter." You should actually drop that from your vocabulary. You are there as a doctor. Which means for administrative needs and to treat the injured. Your corpsmen and medics will be the ones crossing into the shooter category. Not the highly expensive and hard to replace doctor.
That being said jump school is common for Medical officers assigned to billets such as the Seals or Recon(there is also Mountain medicine and cold weather medicine which any gmo assigned to these units or the FMF can apply for). Ranger school and SERE far less common. Remember TAD training takes you away from your unit for the duration of the training. No command is going to give you up for the time it takes to grad something like ranger school. Nor is there a need for you as the Doctor to go to that type of school.
This is not the chance for you to be "rambo." If you wanted that then you definitely chose the wrong career.
Your best bet for an exciting job is to go to flight surgery or Dive medical officer school for your GMO utilization. But believe me you will not be looked at as a shooter by your unit. Regardless of where you will go. Also dont be fooled into thinking that as a flight surgeon you will be flying all the time. You will only do it just enough to stay certified and never in an operational status. The majority of your job will be doing flight physicals and seeing sick call. Same goes for Dive medical officer.
When I was looking at which gmo tour I wanted, I chose to go FMF with a victor unit to deploy. There is still alot of silly admin and physicals but at least I was out with the marines doing what I considered important in countries where all this started from. And that did not make me even close to a "shooter" lol
Its probably a good attitude for you to have but believe me that is not what you are there for and it is not how you will be utilized.
