No. Neither technically nor scientifically is there any merit to the argument.

It's 100% normal and natural for a man to be disgusted by the idea of fucking another man. That's biology.
Similarly, it's normal and natural for a man to be disgusted by the idea of fucking a young child. That's biology. Once again, it's normal and natural for a man to be disgusted by the idea of fucking a dead body. That's biology. One more time, it's normal and natural for a man to be disgusted by the idea of fucking an animal. That's biology.

All of the above are completely normal things for a human male to be naturally disgusted by. Any man not disgusted by these things has some sort of mental disorder. That's just biology. Men are supposed to fuck living women who look like they are capable of bearing healthy children. Other men, children, dead people, and animals, are all unable to bear a child. (Okay, how young are the young girls? I get it. I'm talking pre-pubescent. Being attracted to teens isn't unnatural, in fact it's insanely natural. Most of us have just determined that it's kinda immoral. It's definitely socially unacceptable. That's beside the point.)

Broccoli on the other hand, is not something we've evolved to be disgusted by. It's a plant, it's not poisonous, so we'll eat it.
Shit? We're supposed to be disgusted by the idea of eating shit, so normal people don't eat it, by default, without any thought whatsoever. No need to try it.

It's a terrible argument from a clearly disordered person.

The Twitter faggot's argument is totally devoid of merit. He is making an argument by analogy. Analogies should only be used to support an argument, not be the argument. He is also using conflation to confuse the reader as explained in the following:

When someone says, "I do not like broccoli," he is not stating he does not like the way broccoli looks, smells, or feels. The obvious inference to any listener is that the person ate broccoli at least once. The twitter faggot is using this to make his premise seem reasonable (about someone that never ate broccoli having an opinion on its flavor essentially).

Acts of faggotry visually induce revulsion in most straight men. Thus, it is completely reasonable to not like faggot acts, faggot behavior, or faggots in general based merely on visuals or imagination. Thus, persons can form completely logical opinions about faggotry without ever engaging in faggotry.

His argument is totally devoid of merit.