My H1B got stamped in 2016, however I had never travelled to the USA, now can I transfer the H1B to new employer under Cap Exempt

My H1B got approved and stamped in 2016, however I had never travelled to the USA, in the mean time I had left the organization and joined a new organization. Now can I transfer the H1B to the new employer under Cap Exempt .

Yes, the H1B employer can file the cap-exempt petition as you were already counted against the cap.