Yes, it is possible for us to give the 10th std exam even without going to the school or non regular the registration form of GSEB SSC will be available for both regular and private candidates.

Moreover,you need 33% passing marks in each subject and there must be this aggregate for the students to be declared as pass in GSEB Class 10 exams.

You can refer link for registration in GSEB SSC exam

https://school.careers360.com/exams/gseb-ssc