As a 2nd yr transfer student on F1 visa, can I immediately start looking for internships from the new university?

I spent a year at a university, but had to take a transfer due to harsh climate and other issues. I know that a student on F1 visa needs to spend a year before looking for internships.Due to credit-transfer limitations I might have to start afresh. Can I still look for internships immediately after joining the new university given I have already spent a year as a student?