It is possible with an MPPT, install a "Y" connector from the array going to the mini split and the MPPT. I've experimented with that configuration and the "excess" PV power will go to the MPPT to charge the batteries. When I say excess, when the mini split is only using 800 watts for example...
I noticed there are more companies offering the 12,000 BTU solar hybrid mini splits now, are all these units the EG4 model coming from Signature Solar?
You will need an inverter driven compressor heat pump along with a variable speed Airhandler. That combo will produce heat down to single digits and allow the supply air to become warmer ny adjusting indoor fan speed and both the DC compressor and ECM DC indoor fan motor, the efficiency ratings...