go through and push through


Senior Member
Hi, is it correct that "go through" and "push through" are the same in the below contexts?

1) When registering for an online account and you click the button that says "finish" but you suddenly got an error message, can we either say "it did not go through" or "it did not push through"

2) When you setup a plan with your friends but it suddenly rained very hard, can we either say "the outing did not go through" or "the outing did not push through"

Please advise, thank you.
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