Does the property management have the right to ask for a copy of the rental contract?

Have the right. In this way, the property can know the information of the house. For example, according to the information of the real estate license, you can find out whether the owner of the house is the real owner now, or you can go to the management office to verify the owner's information. Property management has the right to ask for a copy of the lease contract. If you are not at ease, you can write "for property filing only" on the copy.