Greetings of the day aspirant !!

As per your query, yes you can study higher secondary during your jee preparation. As most of the students do the same. They maintain their schooling as well as coachings for jee mains. As it is mot important to get the coachings for preperation. You can also do by yourself. As self study is very needed in this exam of preperation. So , you can easily doing both with consistency and determination. There is no issue in that. But you have to work more hard because you have to practising the questions more for the jee exam.

I hope this will be helpful for you.

Good luck!!