Unlikely.

Thde *neutrino* flux from a supernova will be prompt lethal to humans
at *Jupiter's* distance. That's 5.2 AU. The flux at 1 AU will be 27
times higher.

While there are radiation resitant bacteria, they aren't that common.
So damn few things will survive the neutrino pulse. Most of those
will die when several miles of the crust get melted/vaporized.

You might still have some deep rock bacteria,but the odds of them
being able to colonize the surface are low.

--
Leonard Erickson (aka shadow)