Yes, you can appear for JEE Main.

Below is the eligibility criteria of the exam

-Students who are born on or after October 1, 1993 are eligible to apply for JEE Main 2018.

-Student must have passed 12thclass or qualifying exam in 2016 or 2017.

-It is mandatory for students to have taken 5 subjects in 12thor qualifying exam

-For admissions to NITs/ IIITs/ GFTIs, students should have secured at least 75% marks in class 12th exam or be in the top 20 percentile.

- You can avail 3 attempts for the national level undergraduate engineering entrance exam.

To check in detail you can refer below link

JEE Main Eligibility Criteria

You should give JEE exam to get admission in top colleges of engineering i.e IITs/NITs and IIITs. There are many top private colleges also who consider JEE Main score to give admission. There are only few colleges who give direct admission on the basis of class 12th.

Below is the list of Private colleges who takes admission through JEE Main

List of Private Engineering Colleges through JEE Main

Below are the entrance exams in which you should appear in order to take admission in good colleges.

1- JEE Main

2- JEE Advanced

3- BITSAT

4- VIT

5- Manipal

6- Amrita

7- COMEDK

You should also appear for UPSEE exam in order to take admission in state government colleges.

All the best!!