Yes, it is possible to terminate alimony payments before the end of the agreed-upon term, but only under certain circumstances. If the recipient of alimony payments remarries or cohabitates with a new partner, it may be possible to terminate the payments. Additionally, if the recipient becomes financially independent or there is a significant change in circumstances, the court may terminate the payments. However, the exact circumstances under which alimony payments can be terminated will depend on the laws of the state where the divorce was granted.