No, you would not. In VERY rare cases, if you occupy another's land, without permission, knowing it is not yours, and intending to try to take ownership, you may get title to the property after 10 - 20 years; this is called "adverse possession."But if you have permission to occupy, you cannot get title. If you are paying rent, you are a renter--you have permission to occupy. Therefore, you cannot get title.