No. Tenants are protected in very similar ways to homeowners in that a search warrant would need to be obtained prior to having the police conduct a search. A search warrant is a document that is signed by a judge giving the police permission to enter a specific rental unit/property. A judge will only sign the warrant if there is probable cause that criminal activity is occurring in the property (or there are items in the property believed to be linked to a crime). Tenants should keep in mind that fellow roommates can give police consent to search the rental, although the police wouldn’t be able to search another roommate’s room if consent wasn’t given.