Whether or not a sunscreen will cause acne depends on the comedogenicity of the ingredients in the formula. Some ingredients are more likely to form comedones (the “plugs” that contribute to acne.) If they use these ingredients in the formula it may cause you to break out.
Unfortunately, even though you can look up comedogencity of some ingredients, it’s not an exact science and you can’t predict what a blend of ingredients will do. Your best bet (even though it still doesn’t guarantee anything) is to look for a sunscreen that has been tested and labeled as “non-comedogenic.”