The answer to that question depends. If the police are trying to search your dorm room as part of a criminal investigation, constitutional protections under the Fourth Amendment apply, so the short answer is no. They cannot search your dorm room without, say, a student's consent or a search warrant.
That being said, there are some exceptions. If, for example, the police knock at a door and see some illegal activity or contraband in plain view, they can search the dorm room. If there's exigent circumstances, for example, if a student in the unlikely situation is running away from the police and runs to their dorm room, the police can enter thereafter. Again, it's a complicated determination. If, for example, police are asking to search a dorm room and it's part of a student's rental agreement with the school or dorm agreement, that is, although the police may not be able to search the dorm room, a student could potentially face disciplinary action if that's part of their agreement with the school, so the answer is complicated.
Generally speaking, the police cannot search a dorm room, but there are going to be exceptions to that. Having an experienced attorney/advisor should be involved if you're facing any kind of disciplinary action at your school because they can help navigate the process and can help protect your rights.