Like others have said, you'd need to be doing it for prolonged periods. And I don't just mean opening a few bottles per day with your teeth, I'm talking about doing it almost permanently.
Many people who suck their thumbs end up with teeth protuding slightly, but you have to remember that people generally suck their thumbs for long periods of time in a row, whereas the action of opening a bottle is not ongoing.
It depends obviously on the nature of your teeth and gums- some people have teeth which are more likely to be affected by force beign applied on them- like when you just have your brace taken off, your teeth are very easily influenced by the slightest of forces, hence your having to wear a retainer to keep them in the right position.