What kind of pump? Brand, size, etc
How do you know there is no blockage? It could be something in the thruhull or in the hose leading to the pump. There could also be some shells or debris in the line from the pump to the AC unit
Start at the pump. Close the seacock, Pull the hose on the discharge side of th pump then open th sea cock. You should have water coming out of th pump even she not running. If not, the problem is before the pump.
If you have water flowing, reconnect the hose and disconnect at the AC unit, out hose in a bucket and turn it on, check for flow.
If you have flow, then th problem counted be inside th AC coils. Undo the hoses on both end and blow thru th coils. You should be able to blow thru without too much effort.
Basically you want to go one step at a time.
Another common issue is a plastic bag in the intake. Outside th hull. Problem is that water will flow in with the pump off but with suction the bag gets sucked in tight. If you have water flowing out of the pump when it s off but not when turned on, that s often the problem.