That is certainly the thought. Calvinists believe that God sovereignly elects some for salvation. Here is an example from C.H. Spurgeon:
"Charles Spurgeon tenaciously held to the doctrine of unconditional election. By necessity, this biblical truth flows from belief in human depravity. Because the will of man is utterly dead and cannot choose God, God must exercise His sovereign will to save. Out of the mass of fallen humanity, God made an eternal, distinguishing choice. Before the foundation of the world, He determined whom He would save. Spurgeon contended that were it not for God’s choice of His elect, none would be saved."
https://www.ligonier.org/learn/articles/charles-spurgeon-calvinism-unconditional-election
If this were true then:
1.
All mankind would be saved, since God desires the salvation of all men. the Bible is very clear about that.
2. If there were true then
there would be no need for the Gospel, since the Gospel demands a response from those who hear it.
3. If this were true then
Christ would not have died for the sins of the whole world, but only for the so-called "elect".
4. When Spurgeon preached the Gospel, he assumed that all his hearers could be saved, and also urged all his hearers to respond to the Gospel, thus nullifying his belief in divine election for salvation. Here is one example:
'Go not forth from this place to talk with idle gossip on thy way home. Go not forth to forget what manner of man thou art. But hasten to thy home; seek thy chamber; shut to the door; fall on thy face by thy bedside; confess thy sin; cry unto Jesus, tell him thou art a wretch undone without his sovereign grace, tell him thou has heard this morning that he came to save sinners, and that the thought of such a love as that hath made thee lay down the weapons of thy rebellion, and that thou art desirous to be his. There on thy face plead with him, and say unto him, "Lord save me, or I perish."'
https://www.blueletterbible.org/Comm/spurgeon_charles/sermons/0184.cfm