It's possible, but difficult. It depends on how much equity you have left in your current home, the price of the new home and your age. But to make it work, your current home needs to be worth considerably more than the one you're planning to buy.
You can sell your current home and pay off the reverse mortgage with the proceeds. You can then use the rest of the cash you receive from the sale to make a big down payment on a home in another state, then use a reverse mortgage to cover your mortgage payments on the remainder. But for this to work, you need to have enough equity remaining in your current home to cover a major share of the cost of the new home so that you can qualify for a reverse mortgage to pay for the rest. How much equity you need depends in part on your current age - the older you are, the less equity is required to qualify.
This is a pretty complicated transaction and the above just touches on a few main points. If you're considering this, you should talk to a financial advisor who can guide you more fully.