Can a repo man lift car cover to check if its the right car?

In general, a repo man is not allowed to lift a car cover to check if it is the right car. Car covers are considered private property and, without the owner's permission, it would be considered a violation of that owner's privacy and an illegal search under the United States Constitution’s Fourth Amendment that protects against unreasonable searches and seizures. There are exceptions: if he has specific information leading him to believe something may have been concealed (like a child or illegal goods).