There are a variety of synonyms for the phrase "hast a crack" which can differ in meaning based on cultural or regional context. Some common alternatives are "have a go," "take a shot," and "give it a try." Additionally, phrases like "give it a whirl," "have a stab," and "take a chance" also convey the same sense of attempting something. In certain contexts, idiomatic phrases like "have a bash" or "give it a rip" might be employed, particularly in more casual or colloquial settings. Whatever the synonym, the general meaning is to make an effort or attempt at something, often with a sense of excitement or eagerness.