iPad Mini 5 charger port blocked

Make an appointment at the nearest Apple location to have your iPad evaluated for free.

Once the diagnostics are complete, the staff will explain your options.

Make a Genius Bar Reservation

Genius Bar Reservation and Apple Support Options - Apple

If your iPad has a Lightning connector, if the port itself is physically obstructed, you might try to gently dislodge the obstruction using a plastic or sharpened wooden toothpick. Do not use any metal objects to remove the obstruction - as you may cause a short-circuit and irreparably damage the iPad.

Use good light - and be careful to avoid damage to the fragile electrical contacts and the retainer springs (one at each end of the connector aperture). If you are unable to easily dislodge the obstruction, or your are uncertain, you would be advised to entrust cleaning of the connector port to the technicians at the Genius Bar at your local Apple Store or Apple Authorised Service Provider (AASP) - as they have both the correct tools and specialist knowledge:

Genius Bar Reservation and Apple Support Options - Apple

If your iPad has a USB-C port instead of Lightning, you would be best advised to rely upon Apple’s technicians.

Do you mean the connector doesn't fit into the port?

The port can sometimes be loose and it doesn't connect reliably.

Much of that stuff may be saved to iCloud. You can also email photos and data, although I get that it might be tedious. And the important thing would be that if it doesn't charge reliably you might run out of battery power.