Not sure if this belongs in "yes" or "no" but I'll give it a shot: God made man in his image, and therefore men are creative like God, so they create things like robots. God indirectly created the robots by creating the men who designed the robots. And robots use software which only does exactly what it is programmed to do (a software-controlled puppet), therefore a robot could be Calvinist if that's what its software dictates. In that case, God may have indirectly created a Calvinist puppet, though I've never heard of such a thing.

First, let me rephrase the question as I understand it: The Calvinist claim that God has predestined some people but not all to salvation in effect means that people do not have a choice in whether they are saved; they can only do what they have been predestined to do. But this makes them like robots rather than like human beings, who have free will. By taking this position it is as if Calvinists are portraying themselves as robots, or equivalently, puppets. This is the sort of argument an Arminian might suggest (Arminians do not believe that God predestined who would believe in Christ).

In response, I will say two things. The first is that essentially the same argument comes up in Romans 9. Here is Rom. 9:10-19 (ESV):

"10 And not only so, but also when Rebekah had conceived children by one man, our forefather Isaac, 11 though they were not yet born and had done nothing either good or bad—in order that God's purpose of election might continue, not because of works but because of him who calls— 12 she was told, 'The older will serve the younger.' 13 As it is written, 'Jacob I loved, but Esau I hated.'

14 What shall we say then? Is there injustice on God's part? By no means! 15 For he says to Moses, 'I will have mercy on whom I have mercy, and I will have compassion on whom I have compassion.' 16 So then it depends not on human will or exertion, but on God, who has mercy. 17 For the Scripture says to Pharaoh, 'For this very purpose I have raised you up, that I might show my power in you, and that my name might be proclaimed in all the earth.' 18 So then he has mercy on whomever he wills, and he hardens whomever he wills.

19 You will say to me then, 'Why does he still find fault? For who can resist his will?' "

Notice what is happening in the passage. Paul is talking about God acting based on his own will in deciding who would follow him and who would resist him. His first example is Esau and Jacob. God decided in advance--and verse 11 clearly indicates it had nothing to do with either of them doing anything good or bad--that he chose Jacob over Esau, not the other way around. Paul then addresses (in v. 14) the natural objection, which is that this would be unjust for God to do, so Paul must not be saying that. So Paul say, yes he is saying that--that it does not depend on what people have wanted or have done or not; it depends on what God wills. (God does not look down the corridors of history to see who will believe and then choose those people for salvation; God of his own will has decided who will believe and thus be saved.)

Paul doubles down by giving another example, namely Pharaoh, and saying that the whole episode was according to God's plan, and God has mercy on whom he wills and hardens whom he wills. And then Paul raises the next expected objection: "Why does he still find fault? For who can resist his will?"

I think Arminians should recognize their own objection in that verse. "That's not fair!" they say. "That means we don't have a choice!" they say." "That makes us robots (unable to resist the way God programmed us)!" they say. And Paul answers the Arminian objection by saying, you're like clay; you are not in a position to question the potter on how he chooses to use the clay. God makes some for glory while patiently enduring the others, who remain with the guilt of their own sin.

Our response should be to trust in Jesus and thank God for making us vessels of mercy.

But then the second half is, we need to recognize that we do have a choice to exercise. God has told us to repent and believe, and we must willingly obey him when he tells us that.

The Bible therefore teaches both that man must make a choice, and will be held responsible for that choice, and that God, who is both loving and just, has sovereignly decreed before the foundation of the world who would make the right choice. This is an impossible thing for us to reconcile in our minds--called the paradox of God's sovereignty and man's responsibility--but we are able to believe both things that the Bible teaches, even if we can't understand them fully. The secret things belong to God (Deut. 29:29). "O Lord, my heart is not lifted up; my eyes are not raised too high; I do not occupy myself with things too great and too marvelous for me" (Ps. 131:1).