Can the person with the life estate sell the property?

Generally no since the buyer's right to the property would end with the death of the life tenant. It is more common for a life tenant to assign their rights in the property with the understanding those rights end with the death of the life tenant.

The grantee of a general life estate has the right to the use and possession of the property for life but no power to convey the property. However, there are certain circumstances under which the life tenant can sell. First, the right to sell the property can be set forth and included in the original grant. That is sometimes seen in older wills when a life estate is set forth for a surviving spouse. The will provides the surviving spouse with the right to the use, possession and profits from the property and the right to sell it during the lifetime of the life tenant. If the property isn't sold, the life estate expires upon the death of the life tenant and the fee passes free and clear to the remainderpersons.

Some states, including Florida, allow something called an enhanced life estate. With an enhanced life estate deed a person retains the right to take back or sell the property and keep all of the proceeds. An enhanced life estate deed must be drafted by an attorney who specializes in real estate and probate law. It must be drafted with specific language to be valid and must be valid under state law. A deed granting an enhanced life estate is sometimes called a Lady Bird deed.

On the other hand, if you own property that is subject to a life estate you cannot sell the property without the consent of the life estate holder who must release their interest in order to clear the title. If they don't consent and release their interest then the new owner takes the property subject to the life estate.