Is there any way to apply control rig pose to control rig in runtime

You can with a plugin i built that allows you to interface with the Control rig at runtime, its called GameThread Rigs… basically you can set controls and poses to the control using blueprints or c++…

If you’re open to using plugins:
https://www.fab.com/listings/65b838d9-4648-4119-a54d-f998694e2883