Would an extremely bright star produce same kind of shadow band effect as seen in solar eclipses just before totality?
Yes, the nonuniform illumination pattern would be visible for extremely bright stars.

Venus (mag -4.6) is bright enough to cast visible shadows.
Let's move Sirius, the brightest star in the northern hemisphere closer, to match the Venus brightness:


currently: mag -1.46, 8.6 light years away, 0.006" angular diameter
relative brightness difference: $\sqrt[5]{100}^{4.6-1.46} \approx 18$
required distance factor: $\sqrt{18} \approx 4.24$
at $8.6/4.24 \approx 2$ light years away, Sirius apparent diameter would be $0.006'' \cdot 4.24 \approx 0.026''$ which is still much smaller than planets


Moreover, we can even see planets twinkling sometimes (depending on the seeing), so the "point light source" is not a strict requirement (well, strictly speaking, point light sources do not even exist ;))

Interestingly, there are no mentions of shadowband-like phenomena in the supernova observation history, even though some of them were bright enough to be visible in daylight.

I guess we have to wait for the next Milky Way supernova to be sure...