Actually life is doing better in the Chernobyl zone than it was when there were humans there. Humans stay away because they don't like slight increases in cancer probability, not because life is impossible.
"Some claim that the populations of traditional Polesian animals (such as wolves, badger, wild boar, roe deer, white-tailed eagle, black stork, Western marsh harrier, short-eared owl, red deer, moose, great egret, whooper swan, least weasel, common kestrel and beaver) have multiplied enormously and begun expanding outside the zone. These claims, however, are not substantiated by any systematic census of any animal taxon."[41]
https://en.wikipedia.org/wiki/Chernobyl_Nuclear_Power_Plant_...
[41] Møller, A P; T A Mousseau; F de Lope; N Saino (2008). "Anecdotes and empirical research in Chernobyl". Biology Letters 4 (1): 65–66. doi:10.1098/rsbl.2007.0528. ISSN 1744-957X. PMC 2412943. Retrieved 2012-02-07.