No. A faggot is multitude of fags. A fag is a stick. A bundle of fags is very burdensome to carry.

In agrarian days, if a guy went after guys, he didn’t have children. Children were essentially also new farm equipment. As the sodomite got older, having not produced new farm equipment, he became a burden and had to be carried along by others or left for dead.

Hence, “faggot”. It just means, “a burdensome person.” Non-sodomite people can very literally be faggots, and there were other words than “gay” and “homosexual” before, too. Shakespeare had all sorts of jokes about them.

How the English got a food named that, or spotted dick, is beyond me.