As long as your winrate is greater than 0 and finite, and your bankroll is greater than 0 and finite, if you played an infinite amount of time, your chances of busting will always be greater than 0% and less than 100%

Even if your bankroll is 1BB, and your winrate is .001bb/100 there is a chance you will never go broke

And no matter how big your bankroll is, you always have a chance of going broke

Almost sounds contradictory, but it's not