Idiom: Strike up a friendship
Example 1:
Daniel: Is that your Star Wars bag?
John: Yeah, why?
Daniel: I’m a HUGE Star Wars fan!
John: Awesome! Who is your favorite character? Mine is Darth Vader.
Daniel: ME TOO! Oh man, did we just strike up a friendship right now?
John: I think so, haha.
Example 2:
Adrian: I want a girlfriend.
Miran: Then go out and get one!
Adrian: It’s harder than you think! Work keeps me so busy that I can’t even strike up a friendship, let alone get a girlfriend!
Meaning: to start a new friendship