If you deleted a app is there any way to get it back with the information

Delete [and restore] built-in Apple apps from the Home screen on your iOS 14 or iPadOS device or Apple Watch - https://support.apple.com/HT211833

- When you delete a built-in app from your device, you also delete any related user data and configuration files.

I don't know if your data would be present in a backup you have of your device. If so, it would mean restoring your entire device back to the time of the backup.

Click on this link to discover how to 'Restore your iPhone, iPad, or iPod touch from a backup' --> https://support.apple.com/HT204184

When you deleted the app, did you ignore a notice that deleting the app would also delete your information related to that app?

If deleting an app also deletes any info related to the app, then it is gone for good.

M1 Mac mini, macOS 11.4; Watch, series 5 GPS/cellular, watchOS 7.5; iPad Pro 2nd Gen, iPadOS 14.6; iPad Air 2, iPadOS 14.6; iPhone 12 Pro, iOS 14.6; TV 4th Gen, tvOS 14.6  HomePods, audioOS 14.6 and Airport Express w/ Airplay 2