Hello,

Yes you can go for the second round counselling of TS PGECET without reporting the college you got in the first phase but if you did not report in the college you got in the first phase of counselling and you did not get seat in the second phase then you will not get your seat back that you got in the college you will have no any seat. But if you report in the college and if you do not get seat in the second phase. You still will have your seat that you got in the first counselling. So i  suggest you to report in the college to be on the safe side.