Of course - note that this, too, requires a front wheel with two degrees of freedom (although it's possible to turn a no-steering two-wheel vehicle by leaning, the effect is minimal compared to one steerable wheel); front chainstays would prevent this.

It's the usual way to turn when using your hands too - in fact, you (subconsciously) turn your handlebars the "wrong" way when cornering on a bike (https://en.wikipedia.org/wiki/Countersteering). This is very counterintuitive and discussing it is a good way to start arguments...

Countersteering is becoming more well known know amongst motorcyclists (thanks to more rider training and the internet), but some riders go there whole lives without knowing about countersteering. This is unfortunate because learning to consciously countersteer makes you a much safer and more skilled rider. The same holds for bicycles too I suppose.

I thought that countersteering is only for motorcycles?

But then , cite "The entire sequence goes largely unnoticed by most riders, which is why some assert that they do not do it", end cite, is most probably true.

You definitely countersteer on bicycles too!

No. The effect is, of course, much more pronounced with motorbikes, given the greater mass and velocity - but anything resembling a bike can be countersteered.