Can the military take your annual leave away (Christmas block leave) if you refuse to jump?

Let's see if I can break this down to its simplest form:

Leave: Commanders are the only one that can approve/deny Leave.
Jump: You are on jump status. You need to jump to remain proficient and be fully mission capable.
Medical: If you have a profile that says no jumping, then you don't jump. If you don't have a profile, then you jump.

So, yes, your Commander can deny your Leave for refusing to get manifested/loaded for jump because you are not mission capable. Of course, I am only guessing this would be the reason why your Leave could be denied. I'm not your Commander so I have no idea what they're thinking.

If you are truly injured with a back injury that you do not want to make worse (and let's be honest, Airborne will eventually screw up your back, your knees, your ankles, your height), then you need to seek out a higher level of medical evaluation. If your PA is not wanting to give you a no jump profile until you are better, then go to your BN Surgeon. Or BDE....or where ever the Surgeon sits. Hell, if there is an orthopedic doctor at your base, see them.

Jump refusals are grounds for UCMJ action. You are on Jump status and therefore are required to jump at all unit jumps UNLESS actively on profile. You are likely being processed under article 92 (dereliction of duty) and the commander is the approval and rejector of all leave actions, so yes, they can do that.

A PA isn’t just going to refuse to put you on profile for a back injury if you have one. I’ve been on profile for 2 years for a back injury with 2 surgeries.

Long story short, at unit jumps, you are required to jump for proficiency

While its been awhile, if you have a profile that says no jumping, then no they can't. If you do not have a profile and the Docs say you are fit for duty then they can do much more, you become a jump refusal and if on status less that 3 years, say goodbye to your wings, also look forward to UCMJ actions(s). If you are a pay loss or coming up on pay loss status you end up on the bad metrics for your unit which is a whole new level if you have no medical get out of jail card. Bottom line is if you are on status, medically cleared and going into pay hurt status you are required to Jump, thats what Paratroopers do, speaking as someone with 253 jumps and more back pain than I can stand some mornings not mention assorted other fun gifts from Status and service we all have to make that choice, Jumping is voluntary the day you decide you have enough its time to leave. I did and I think these still do voluntary terminations of jump status these days.

After reading some of your replies I see that you do not have a medical profile and that your PA is refusing to grant you an extension. You basically have to decide which is more important your back or your leave. Not everyone can suck it up and drive on, you have to understand that Division has to field maximum numbers of qualified Troopers. I have a number of my troops get hurt and decide that jumping was no longer that important, you must also realize you are a grunt and that involves further injury to your back in the long run so this may be your moment of clarity to make some tough choices. Good luck either way.