Sorta. When he had the black suit that turned out to be a symbiote, it allowed him to shoot webbing without technology. He shot them out on the back of his hand

Sorta. When he had the black suit that turned out to be a symbiote, it allowed him to shoot webbing without technology. He shot them out on the back of his hands as opposed to the traditional from the palm. But I believe there have been versions of the character that had organic webbing, but it's been a while for me so I don't know what the latest ideas are.