A damaged or cracked screen is unlikely to work properly, if at all. If you have an older model iPad - such as the first generation iPad Air mentioned in the tags appended to your post - a screen replacement is unlikely to be possible.
The iPad Air1 is now out-of-support with Apple. Even if parts were available, the cost would be uneconomic - typically c.60% of the “as new” price of your iPad. The Air1 cannot be updated beyond iOS 12.5.5 - with iPadOS 15.5 being current.
You would be best advised to set-aside the [now] broken iPad - and replace it with a current model capable of running the current version of iPadOS. All current models of iPad will also be capable of running the next major update to iPadOS 16.x when released later this year.
Of current models, even the entry-level iPad9 is significantly more powerful than your existing iPad Air1.