Opportunism
An animal able to adjust its food requirements could conceivably raise its carrying capacity limits by exploiting different resources. Previously limited by the availability of one food source, the opportunistic species adjusting its diet could sidestep that restriction.
Example
Conversion of wild landscapes to human-dominated sprawl results in the decline of species unable to cope with the dramatic loss of resources and habitat. But certain animals, like raccoons and coyotes, have been able to thrive in such conditions, partly by accommodating human food sources like garbage into their diets.
Social Carrying Capacity
Humans can limit a species' carrying capacity, essentially acting as another environmental factor. For example, humans don't always tolerate large predators in their midst, decreasing their numbers or eliminating them entirely regardless of a habitat's carrying capacity.