I manipulated my nose - have I caused displacement of cartilage/ligament rupture? (Photos)

Hi and welcome to our forum!
The cartilages of the nasal tip are secured in place with their overlying perichondrium. Much force would be required to displace the nasal cartilages from their anatomic position.
There may be a degree of inflammatory swelling (if the manipulation was vigorous) which may result in temporary distortion of nasal tip structures. As the swelling subsides, the nostril should return to its normal shape. This process may take up to a year or more if the trauma was significant.
If still concerned, revisit your plastic surgeon for more specific advice after in-person examination.
Best wishes...