You can already do something like this with prey, just it's called taming.
You have to get a certain skill called "Tame" which is only available from draw points, and they're also uncommon to get since we're trying to promote the option to buy pets instead.
But if you want to tame a prey, you can get 250 (the max amount of skills per skill) and then attack the prey you want to tame until it has less than 10 health left (so basically a sliver) and then you can start to try and tame it. Taming is very difficult, which is why it's much easier just to buy the pets from Bazaar.
I find this idea quite thrilling, it would be useful if you were killing a boss or a specific animal in a local area, especially when your like me and will, without a doubt, will get followed by 7 or 8 new people at a time during your time of questing or hanging out.