The deal for Hardman is worth up to $6.5 million, per NFL Network.
In the reported trade for Moore, the Jets also sent a third-round pick in the upcoming 2023 NFL Draft in exchange for a second-round selection. New York will hold the Nos. 42 and 43 picks in this year's draft, while Cleveland's top pick is now the 74th overall selection obtained in the trade.
The reports come one week after the Jets signed wide receiver Allen Lazard to a four-year, $44 million contract.
Hardman, 24, had a painful end to his four-year tenure in Kansas City.