Hi there,

Hope you are doing fine.

Yes, you are certainly eligible and allowed to give the jee exam in the next year while studying in the 1st year of college without any difficulty.

All the colleges and institutions allow you to appear for the jee examination while pursuing the studies in the 1st year. You can know more about the colleges and their rules related to your current scenario by contacting the officials or by reading the brochures related to it.

Thus, you should start preparing for the jee examination while currently studying in the college and give the exam without facing any difficulty.

Hope this resolves your query.