No.
This is a terrible argument and a gross abuse of the notion of Socratic ignorance.
Yes, we don't know everything. But if there was anything you would want to put money on as not being possible ever in a billion years, it's FTL. Every single scrap of science we have says it's impossible. Every single scrap of science we had 500 years ago didn't say that faster-than-horse travel was impossible, or that atomic power was impossible, or that computers were impossible. You could look up in the sky and see a hawk; that travels faster than a horse, men just didn't know how to do likewise. You could look up higher in the sky and see the sun; that produces heat better than a burning dungpile. You could point to the wisest man in the land and say that he can calculate 12*12 faster than the town oaf; men just didn't know how automate the process.
The situation with FTL is qualitatively different in that there is nothing in the universe which exhibits the property.
So please stop misrepresenting this as "Just another example of some eggheads' hubris of omniscience".
It's always funny when people make claims of absolute certainty like it's nothing. Nothing in science is 100% certain, nothing. It is a field of statistical significance and probability, not absolute certainty. Science is NOT about truth and certainty. It's about the potential for understanding the world around us. It is NOT about "facts". This is the first thing they try to bang into undergrads students heads in STEM fields. One of the biggest mistakes people make is assuming the discoveries of science are hard "facts" no matter how certain they are. Even laws are up for debate.
Considering that the entire sum of of all human knowledge doesn't even scratch the surface of understanding existence around us; it is the ultimate arrogance to make claims of absolute certainty.
If you make a claim of absolute certainty that an object can never accelerate faster than the speed of light, then I ask you to provide proof that our universe's laws are indeed universal and unchanging. I also ask you to explain the fabric of existence in and of itself, where it came from, and what it is composed of. I also ask you to prove that it is impossible to change universal laws.
Because if you are able to make such a claim with absolute certainty, then you have achieved a fundamental god-like understanding of existence.
What you should be saying is: "Our current body of evidence doesn't support the idea that an object is able to accelerate to a speed faster than the speed of light; it shows the opposite. Therefore, there is no reason to assume otherwise at this time".
Every single scrap of science we have says it's impossible
Which doesn't mean anything. It is very possible that large swaths of our scientific base are wrong, unfinished, or misdirected.