Yes, you can repay an equity loan at any time, but you could be charged extra fees or penalties for doing so early. If paying off your loan is a consideration, some programmes allow you to regularly repay some of the interest.
You can still transfer if you want to, depending on the amount of your unpaid loan and the value of the new home.
Before determining whether equity release is a good or poor idea for you, your adviser will help you explore all of your choices.