Yes, you can pay off your FHA loan without a penalty for early pay off. HUD explains that a borrower may pre-pay an FHA mortgage in whole or in part and. HUD Secretary Requires Payoff Letters for Home Equity Conversion Mortgages. Reverse mortgages (also called Home Equity Conversion Mortgages). FHA does not accept wire transfers to payoff Secretary-held HECMs or payoff statement has been received and to obtain a correct payoff statement.