Are the pins bent on iPhone 13 mini charging port?

I can't tell from the picture. If you're concerned enough, schedule an appointment at your Apple Store Genius Bar and let Apple take a look. Now you know why buying inexpensive knockoff charging cables isn't a great idea.

Just spent a spell juggling with a flashlight and peering in mine own i13PM's tail end to compare and can't dare say yea or nay. Am sure you did your best with the camera, but it is simply not possible to ascertain for sure if there's a bent contact. What issues are you having? Doesn't charge? Data transfer doesn't work? You won't want to read this, but if there's a comm problem there, a trip to an Apple Store or authorized service provider will prove inescapable.

Side note: Thanks! After you made me peek, I know I'll be fetching a toothpick and a compressed air can this afternoon at home to blow out every last errant speck from mine's socket.