Bluetooth Tracker for multiple room/multiple RPi

Hi everyone,
I am an happy user of HA on a Raspberry Pi and I have recently configured the Bluetooth Tracker integration to detect when I am home or not.

However my house has 2 floors and the RPi on which HA is installed only covers the lower one.
I have another RPi upstairs that is used for other projects and I was wondering if there is any way I can use it to run some sort of “additional” presence check.

I naively imagined running some docker container that checks presence through Bluetooth and communicates to the main HA instance.

Is this pure science fiction or is it feasible?