Is it okay that the counselor of Dalian University of Science and Technology is not party member?

Specifically, you can call the school to ask. Under normal circumstances, you can be a counselor without party member.

You don't have to be party member to be a university tour guide. It depends on what school you go to as a college director and how it is stipulated. Some schools stipulate that you must be party member to be a college counselor, while others don't. But generally, people who are counselors give priority to party member's status.