No. SRAM Eagle Transmission cassettes are designed, tested, and optimized for use with T-Type components only.
Transmission's unique Hangerless Interface places the T-Type cassette farther outboard, utilizing space previously occupied by the Universal Derailleur Hanger. Installation of an Eagle Transmission cassette on a bike with an Eagle Drivetrain derailleur will lead to interference, binding, and damage to the frame and surrounding components.
To see which AXS components can be mixed and matched, please check out the AXS Component Compatibility Map.