Yes. 1 Corinthians 10:13 is referring to TEMPTATION.
Unfortunately, when taken out of context, like other Bible Verses, it can be used to justify anything!
But satan does.
Enduring it in this context clearly means without falling to temptation. All of the examples cited refer to situations where the Israelites were faced with a temptation to sin and fell to that sin -- idolatry, immorality, denial of Christ and God.
I hate the "more than you can bear" formulation because our modern ears hear that as "God will protect you from negative consequences of our obedience to Him." or "Bad stuff won't happen to Good People" type of stuff. This is offensive to scripture and to the examples that heroes of the faith have given us. Many of the early martyrs were faced with the temptation to recant their faith in Christ in order to save their own lives. They resisted that temptation, knowing they would be killed. I'm aware of one instance in which a martyr was asked directly whether he was a Christian, said yes, was hauled away and then another and then another Christian stood and volunteered that if the first was killed then they would have to be killed as well because of their Christian faith. Death in this instance is not something that they can handle, but rather they maintained their faith and their obedience to God's will instead of falling to the temptation to deny Christ but preserve their own lives.
It is interesting because one of the most significant schisms in the early church (the Donatist controversy) concerned what to do with bishops and other leaders who did fall to the temptation to deny Christ. God promised that he would provide them with a way out of the temptation, but they fell to it anyway. Many members of their local churches believed this disqualified them from positions of leadership in the local church because they had failed in the temptation even though this would have meant execution.