I guess technically...its actually possible. They did for instance state it was a low yield tactical nuke, so something akin to the W76-2 currently used in the US weaponry. Thats a nuke which is way lower than used at Hiroshima for example, can be as low as 5kt and there is a case of a woman who survived at Hiroshima even though she was 300m from the blast "Akiko Takakura survived the effects of a 16 kt atomic bomb at a distance of 300 meters from the hypocenter, with only minor injuries, due mainly to her position in the lobby of the Bank of Japan, a reinforced concrete building" and thats 3 times the 5kt of the low yield nuke. Added to that , low yields tactical nukes are nowhere near as devastating as the strategic nukes (which tend to be the nukes we think of when talking about nukes), so with a tactical nuke radiation exposure is survivable to 200 rems of acute dose exposure. If a group of people is exposed to a 50 to 59 rems acute (within 24 hours) radiation dose, none will get radiation sickness. If the group is exposed to 60 to 180 rems, 50% will become sick with radiation poisoning. If medically treated, all of the 60–180 rems group will survive.
Still unlikely, but possible
.
