Yes, you can. If you own your home and do not have any outstanding mortgage payments you can gift your house to your son or daughter. If they are under the age of 18, you can do this with a 'bare trust'.
You can gift your property for nothing, or less than its worth. You must be of sound mind and not acting under pressure from anyone else, and you must be the registered owner at the Land Registry.
When transferring property ownership with a mortgage, where the buyers are using the mortgage to pay the sellers, they'll need to get an undervalued mortgage offer. Find out more on ways to gift your property or land.