In the episode of Spyfall they have an adorable dancing scene in the end. They confess their feelings to one another in Two Dates and a Funeral and they officially start dating. They are reunited in Seaford Hustle when Kim came to visit Jack from Japan after Jerry arranged it so they could see each other.
In a promo for the first episode of the show, a voice over stated that they have a crush on each other, and it showed footage of them in a slow motion.
In the promo for Spyfall the first episode of season 3, it looks like Jack and Kim are a couple.
People could assume this because Jack and Kim are seen dancing together. (push Rudy out the dojo with Jack following) Go, go, go, go, go!
Let's go practice." (drops his apple and Kim catches it with her foot) "Kim, what are you doing here? You guys were alright in the tournament, but the way I see it, you need all the help you can get." (hands Jack his apple) Jack: "Hm. So you didn't notice a 600 pound custodian, but you did notice when Donna Tobin changed her ponytail from left to right? I'm not even sure who Ricky Weaver is." Jack: "Oh." Grace: "Really, Kim? I think he's got a doll's head." "Mm-hmm." Jack: "I just don't get what the big deal is." Ricky Weaver: "I'm looking for Kim Crawford." Jack: "I know you. Ah, gotta go." (turns to leave) Jack: " Bye Kim." (mocks Kim's snorts) Kim: "Seriously, I will hurt you." Jack: "Kim, there you are." (stops to see Kim in a dress) "Wow! " (turns to her locker mirror to check) Jack: "There's something you should know about Ricky. He just look at your picture and thought you were cute." Kim: "Ricky is not that shallow, Jack." (shuts her locker, then turns to Jack) "He seriously thought I was cute? If we pass the inspection, the dojo can reopen tommorrow.
" Jack: "Okay, first, it was right to left; Second, it wasn't a ponytail, it was a french braid; And third, maybe if that custodian had legs like Donna Tobin I would have noticed him too." Jack: "Whoa, wait. Cause your locker's a huge fan." (Opens Kim's locker, revealing Ricky Weaver posters and music playing) Kim: "Thanks a lot, Grace." (tries closing her locker but Grace holds it, then slams it) "Fine, I love him. I never seen you in a dress before." (looks at Kim's lips) "Are you wearing lipgloss? " Jack: "After the concert, he's gonna take you backstage, make a move on you, and then dump you.