I'll share a pro tip that a friend gave us when our DD was having trouble getting started with contact lenses. Get your kid some lubricating eye gel like this one
https://www.refresheyedrops.com/92056.html and have them practice, just like they are inserting contact lenses, for 10 minutes a day. It has to be the gel, because it has to be something they put on a finger, like a contact lens, that is meant to touch the eyeball.
We started this after struggling through 2 contact lens appointments, with some successes, but mostly blinking before the contact was in. We committed to 10 minutes a day before our next appointment, and she got past the 'want to blink' stage and has been a contact lens wearer since then.