Dont think so, he was busy doing what Rome has never done.. writing bible commentary and a book of systematic theology
"We discussed what Calvin wrote in his commentary on Genesis about music and its role in Christian worship. Here in the Strasbourg Psalter published 1544, was included I Greet Thee Who My Sure Redeemer Art, clearly not a strict Psalm versification (though it has hints of Psalm 67 in it, shine on us with the light of thy pure day). Calvin commended Psalm singing, versified poetry from the Psalms himself, commissioned Clement Marot, the work carried on by Beza after him, but nowhere during or after his time in Strasbourg, where German Lutheran hymns were widely sung, did he condemn the writing or singing of hymns of human poetic composition. In the Geneva Psalter published 1551, Calvin included I greet thee. Some hymnologists believe Calvin wrote this hymn; it is very Calvin and may have been so; the fact that we dont know who wrote it is actually a vote in favor of humble, un-self-serving Calvin."
http://roxborogh.com/REFORMED/calvinhymn.htm
May I guess you were studying anti-Catholic forensics when you might have acquainted yourself with the fact that only death prevented Aquinas from completing a massive work of Systematic Theology while he also wrote hymns and prayers?
And yet, note that if Calvinist belief is that babies who die prematurely are all “elect” and going to heaven, does it logically also follow that Calvinists should kill all babies since they would then go to Calvinist heaven since they were all predestined?