Most lifetime mortgages can be transferred as long as the new property is acceptable to the lender.
But if the new property is of a lower value than your present home the lender might require you to settle some of the mortgage.
Home reversion schemes are not usually allowed to be transferred but it does depend on the property.
If you were looking to move home and your lender agreed you must expect to pay further legal and other associated Equity Release costs because new paperwork and due diligence will have to be done.