So long as your parrotlet is eating/climbing/beak grinding when relaxing, I think you are fine. Although a beak is made of similar material on the exterior to a finger nail, it is much more complex and should not be aggressively trimmed (though sometimes necessary). Do you have multiple cuttle bones to chew and rub on? Hard perches and plenty of chew toys? If so, your bird should be fine. Here is a picture of Harry from last year: