Water pump shaft removal

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I'm having difficulty removing the shaft from my water pump. I was watching this video where the shaft was removed with all the front packing still in place.

HERE

I have the front cup, felt, washer and bushing removed. The sleeve, back washer and felt cup are still in place. The shaft pulls out roughly 3/4". Then stops. I've put a nut on the end of the shaft, and whacked it for a while. Which results in it jamming up and no longer spins. I can push it back forward and it will spin again.

I don't have a press. Not sure how to remove this shaft. Any advice is appreciated.