No.
Not all steel grades are suitable for carburizing and quenching. This process has strict requirements on the carbon content of base materials, and it is only compatible with low-carbon alloy steels. Medium-carbon and high-carbon steels are not recommended for this treatment.
If carburizing is carried out on medium-carbon steel, the base material already contains a relatively high carbon level. After carburizing, the overall hardness of the part will increase drastically while its internal toughness drops sharply. When such gears bear impact loads, failures including tooth root fracture and tooth chipping will easily occur, failing to satisfy the service requirements of transmission components.
For medium-carbon quenched and tempered steels, two standard heat treatment processes are generally adopted: quenching & tempering plus induction hardening, or quenching & tempering plus plasma/gas nitriding.