You’d have to use your imagination for that, we can’t know. Like the others said I am sure he sang as part of devotional practice…perhaps if he enjoyed it he may have sung with friends, if this was the done thing. I am not knowledgeable on such things, but it seems possible as one often hums along with hymns from church on the way home or when taken with the moment, I’d imagine it likely he would in praise, but not it weren’t fitting for a Jewish male to do. I personally would doubt he did so in the garden of Olives whilst suffering such anguish but stranger things have happened, as I say we can’t know. There is no mention of singing and it is not often mentioned that humans in dire anguish sing (except of course in theatre ) , however, it could be so, we are not talking of an ordinary situation here, nor an ordinary human. There are plenty of mediations on this subject if you wish to view them, I recommend those of St Gemma Galgani. I can provide a link if you like, though there is nothing about singing.