This sounds like a bad idea to me.
Exactly which connections are you thinking of soldering? The connections inside the tank (i.e. those which are integral to the pump assembly)? Or the connections outside the tank (i.e. the pump assembly to the vehicle harness)?
If the former I suppose there is not too much risk as a replacement pump assembly module would return things to normal. If the latter, well, I can imagine the next owner's curses.
I would be more inclined to buy an aerosol can of electrical contact cleaner.