Yes! We have customers successfully using multi-zone mini split systems with the CoolBot.
You need to be sure the outdoor compressor is able to accommodate the BTU needs for all zones. For example, if your walk in cooler needed an 18,000 BTU unit, and there were 3 other units that handled 8,000 BTU each, then you would need an outdoor compressor that was able to handle 42,000 BTUs. Each zone operates independently from the others, so you can maintain different temperatures in each zone.