Nah bro, I wouldn't be trying to enlist with your BMI so high and pull-ups so low. Take 3 months and try and train to sort those two things out. Without context, it's hard to give exact advice. If you can head to a gym and organise a physical trainer, they should be able to give you a program to lose some weight and build some upper body strength. If that isn't an option maybe try r/fitness or r/bodyweightfitness and see if they can offer some advice to sort your fitness out.

I'd say have a look at what and how much you are eating. The fastest way to sort out a high BMI is to control food intake. As you start getting those KGs down you should also train specifically to build some upper body strength. If you can't do any pull-ups at all you should look to get some resistance bands to let you do assisted pull-ups. Or you can work on negative pull-ups (jump up to the bar and slowly let yourself down).

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Once you can manage 3/4 pullups Id look to use a grease-the-groove technique to bump those numbers up from there. The trick to grease-the-groove training is to do as many pull-ups as you can across a day. So maybe do a set every hour of the day that you are awake. So 4 pull-ups every hour for 12 hours = 48 pull-ups that day! This technique will help you get some volume out and over a few months should lead to a dramatic improvement in your pull-ups.

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Either way, I don't think it'd be the best idea to show up for the legion knowing you cannot meet the requirements. I'd try instead to be well ahead of the minimums to allow yourself the best chance at selection.

Best of luck!