iPhone 13 wiggle apps?

Go to Settings > Accessibility > Touch, then tap Haptic Touch or 3D & Haptic Touch. Choose the touch duration—Fast or Slow. On an iPhone with 3D Touch, you can also choose the pressure needed—Light, Medium, or Firm. Test the new setting on the image at the bottom of the screen.

Adjust how iPhone responds to your touch - Apple Support (IN)

Apps only start to jiggle if you press and hold your finger on their icon(s).

Check (and adjust to "slow") the option:--> Settings>Accessibility>Touch>3D or Haptic Touch.

Regards

Giulio

Did you already force restart your iPhone?

Force restart iPhone - Apple Support

Are you touching and pressing the screen while picking it up?