Yes. If a microSD card is mounted, DJI Goggles 2 can support the screen recording with the on-screen display (OSD) information recorded.
Source
https://www.dji.com/support/product/avata
Do DJI Goggles 2 support screen recording?
Yes. If a microSD card is mounted, DJI Goggles 2 can support the screen recording with the on-screen display (OSD) information recorded.
Source
https://www.dji.com/support/product/avata