Reminder capybaras are wild animals and can carry diseases, such as the spotted fever. And they reproduce really fast: in nature they reach sexual maturity in a year and half, and have 4~5 pups per year. At least here (where I live they're native) there is some predation, but unless you keep the population in check they'll go from "aww" to "eww" really fast.
And no, hugging the capybara is not predation.