Weeellll, not really. I had a Calvinist on this very forum tell me that God chooses who goes to Heaven and who goes to hell. She said this without providing supporting Scriptures, of course, because there are none. But she definitely stated that Jesus did not die for everyone.
God “selected, elected, preordained, predetermined, chose, however you want to say it” people from his creation that he wanted with him in heaven. He chose, we had nothing to do with it. All of these words have a similar meaning, and to say that one of these words “elect”, doesn’t mean savation... well, you can make that claim. But when God says that he will gather “HIS” elect from the four corners of the heavens (Matthew 24) I take it to mean that He elected, He chose, He predetermined, not man.
Post the supporting Scriptures. Post one verse of Scripture where God uses the word "elect" to refer to eternal life.
I just did, in Matthew 24. God gathers HIS elect.