Can I get into ISRO without the JEE Exam?

Yes, you can join ISRO without JEE Exam because you need to first have a BE or B.Tech or equivalent qualifying degree. ISRO conducts its written exam first which you can only apply if you meet the academic qualification: Students must have qualified B.E/B.Tech with a minimum of 65 percent. Indian Sp

There are several other post available in ISRO, applicants can apply after Graduation and BE/B.Tech or other equivalent qualifying degree. There are several internship programs that are non technical such as assistant or junior assistant, there is no need of engineering degree.