Yes, it is possible. The new employer will need to file a new H-1B petition on your behalf. Unless you are planning on spending several months in India, the petition will need to be filed Premium Processing. Once the new petition is approved, you will need to present the new approval notice at a consulate in India in order to obtain a new H-1B visa to return to the U.S. The only potential downside of doing this while abroad is if the petition does not get approved and you have quit your current position, you will be stuck outside of the U.S.