Hello,

The eligibility criteria to get into NAVY or army:-

1. Must have qualified +2 from a recognized college and must have one major subject from Chemistry/biology/computer science.
2. age limit must be 16-20  years
3. PFT as per the rules
4. Medical standards as per the norm

You have to satisfy all the rules then only you will get into army. If you are not satisfying any one then you are not allowed into any kind of army or navy forces.

if you satisfy all and join army then yes you can do distance education. you will follow the process needed to get an admission into distance education and learn in your time at your convenient place.

Hope it helps!