If the water pump is leaking out the weep hole then it cannot be fixed.
You would have to remove the old water pump and replace the leaking water pump with a new one.
The weep hole is made into the water pump so that when the seals in the water pump go bad it starts leaking to alert you to a bad water pump.
So when you have the water pump leaking from the weep hole it needs replaced.
When a water pump starts leaking it's a sign that the water pump is failing and is in need of replacement within a few miles.
Once the water pump starts leaking you should get it fixed if it's leaking out the weep hole because when water pumps leak out the weep hole it's a sign that the water pump is bad.
So it needs replaced right away.
If you plug the weep hole on a water pump the water pump will stop leaking and can get you down the road in an emergency.
However the weep hole leaking on the water pump is a sign that the water pump seals are going out or have gone out and the water pump needs replaced.
I have had to plug the weep hole on the water pump before on my truck to get down the road when it started slightly leaking.
However I got a new water pump as soon as I got to a shop the same day and then replaced the water pump before I drove any further except to get home.
Water pumps start leaking out of the weep hole for a good purpose and they should never be plugged and you continue driving.
The weep hole leaking coolant on a vehicles water pump means the water pump is failing or has failed.