It is definitely repairable as it’s likely just the screen which is damaged, but it will come down to cost and it could be complicated further if you’re buying it pay monthly and still in contract with your mobile provider. If you have an insurance on it such as AppleCare or a third party policy you could try that avenue for hopefully a free repair but without any insurance policy it’s likely to be expensive.

If you don’t have it insured and it’s a fairly recent model it might be worth getting a quote and going ahead, but if it’s an older model it would be better replacing it. If you’re still in contract with a phone provider though check how long is left as it could be expensive to end the contract early with the penalty fees.