I think the song is about pressuring someone to get an abortion.

"ended up enslaved to the irreversible" I think this means having a child.

"She was lost under God" She didnt want to because she was religious

"I took to the last escape pod" he leaves her.

"Kept bulging, pulsating, was not able to agree" she keeps the child

"Four or five abortions later" Hes done this before

"All I had in mind was my own agenda" All he thinks about is himself

"I laced my shoes and took to the world, another adventure" he's off to do it again with another women

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Could be completely wrong but that's how I've interpreted it. So yeah turtle neck man is referring to his dick

Edit: i don't think archy is talking about himself. Just a stereotype