Well, it doesn't hurt to try. Be careful digging them up. Don;t like roots disturbed. Remember they like it on the cooler side, so keep them in a cool spot in house with enough light, and let us know how they do.
Nina

I've wondered this myself. I love Nasturtiums, but as PP said, they would probably be very difficult to transplant. Please let us know how it went!

It turns out that the Nasturtiums did not survive. However, it was from the vines being just too tempting for a 1 year old cat that we have and not from "natural" causes.

So for not it remains an unknown. Ah well...maybe next fall.