Can a person who only has the right to the exclusive possession use and enjoyment of property sell the property?

You seem to be describing a life estate. The holder of a life estate in real property cannot sell the property because they don't own it. They can transfer their life interest to another person but it would still end upon the death of the original holder.

The exception is states that allow "Enhanced Life Estates". Florida is one example. The owner of an enhanced life estate can sell the property.