YES you can give jee and if you god a decent rank you can get a seat in good universites like bits mesra,thapar,ymcaustand others but according to the rule you will not got any seat in nits and iiits becuase its mandatory to have 75% in 12th class if you are a general candidate but dont lose hope if you got decent rank there are other good universites available that will be good for you.you can even try mhcet ,jac delhi,jac chandigarh councelling,there you get a chance for most prestigious universities like DTU,NSIT,PEC etc you can also try for JMI(JAMIA MILIA ISLAMIA). this would be the best alternative for you