"At any point" is a phrase often used to imply that something could happen at any time. There are many synonyms for this phrase that can be used to convey the same meaning. Examples include "at any moment," "at any time," "at any given time," "whenever," "on any occasion," "at all times," "unpredictably," and "spontaneously." These synonyms are used to stress the importance of being vigilant and prepared for whatever may come your way. It is always wise to be proactive and have a contingency plan in case anything does happen, no matter how unforeseeable or unexpected it may be.