FWIW, I believe that even our current technology is sufficient to "achieve the singularity". The thing that's lacking is software. The thing that would be changed it how widely spread the "superhuman AIs" are. Possibly also how fast they are. (You could do it with cog-wheels if you didn't worry about speed.)
Also, I haven't seen anything that would cause me to revise my expected date of 2030 plus or minus 5 years. Even that "plus or minus" doesn't really belong there. as there won't be any sudden change at any particular point. In that sense it's like dropping into a black hole. You don't even notice when you pass the Schwarzschild boundary.
That said, don't believe any particular projection about what happens when you "pass into the singularity". There's not only one, and we've already passed through several. The transitions from vacuum tubes to integrated circuits was one "technological singularity". Nobody could predict ahead of time what it meant, or not accurately. E.g. IBM never foresaw the personal computer.
The thing called "the Singularity" these days generally has to do with AI, but if you look back at the original papers that was just seen as one path, and it's not like the other paths haven't been being developed in parallel.