It's possible. Once nanotech is under the direction of AI anything could happen. Exponentially increasing matter transformation. It might not even be the Singularity, just "dumb" self-replicating robotic devices birthed in an average 2025 industrial park, bulldozing your house and neighborhood without warning to make way for the next robot factory.
Check out the "grey-goo scenerio" and the novel "Blood Music".
5. Runaway nanobots!
Eric Drexler, the father of nanotechnology, calls it "gray goo": the state of things in the wake of microscopic machines capable of breaking down matter and reassembling it into copies of themselves. Nanobots could swarm over Earth like intelligent locusts, Drexler fears, then buzz out into the cosmos devouring everything they encountered. Michael Crichton's latest novel, Prey, describes a last-ditch attempt by scientists to destroy such contraptions before they take over the world.
Set aside the fact that, for all the nanobot speculation you've seen (including in Wired), these creatures do not, technically speaking, exist. Suppose they did. As the visionary scientist Freeman Dyson pointed out in his New York Review of Books critique of Prey, not only wouldn't nanobots be able to swarm after helpless victims as they do in the novel, they'd barely be able to move at all. Laws of physics dictate that the smaller something is, the greater its drag when moving through water or air.
"The top speed of a swimmer or flyer is proportional to its length," Dyson notes. "A generous upper limit to the speed of a nanorobot flying through air or swimming through water would be a tenth of an inch per second, barely fast enough to chase a snail."