Yes, you can work for Kuri and that unlocks several job events in the latest Patreon version. However, the requirement for getting that job is rather specific (and likely the other jobs made in the future will also revolve around a similar requirement):
You have to have picked Kevin as your partner for the Ruvin Main Story Quest.
Details on getting the job can be found in the event titled "Kuri Work Intro" over here: https://summoned-by-accident.fandom.com/wiki/Winners_Circle
And the Trald wolf event in the Park has a bunch of other events (most with your new pet wild doggo) hidden behind it, so you do want to get that. The details on how to get the "Trald Park Hangout One" event can be found over here: https://summoned-by-accident.fandom.com/wiki/Park#Hangouts
The sticking point you may be missing on that one is that you have to have met Ferron already in the Gym, since he's involved in that Trald Hangout.
I hope that helps.