Yes, your Hunter's COM goes to BlueSpray's COM, the COM next to M, not the one next to 24V.
If your SEN1 and SEN2 are for rain sensor, connect to RAIN on BlueSpray.
If you have a master valve or pump relay, connect it to M.
If you use our power supply, connect the 2 wires to 24V and CỌM If you use your hunter's power supply, those 2 yellow wire goes to 24V and COM, I think. You might want to measure which wires gives you 24V. We recommend that you use ours.