Is there a case in Singapore that will affect the PR application?

It will have an impact, and the possibility of applying for PR is relatively small. If your case has affected your student ID card, it means that the incident is more serious. Moreover, giving false confession is a serious illegal act in Singapore, and its credibility has been lost.

In addition, the Singapore Immigration Bureau has not clearly pointed out how many years later similar cases will not be investigated. Although your quarrel with someone is a civil case, it has turned into a criminal case and will be prosecuted by the police for obstructing justice.