It might be a bit of a stretch but you can kinda see how Yamato will interact with some of the strawhats, at least on paper.
Luffy - craves freedom and adventure, so more than likely they'll both be gung-ho about traveling to New islands & more than likely get into some shit alongside Luffy.
Zoro - since his father is more than likely one of the ones who helped free Yamato there could be a little bond over that, just filling Zoro in on Wanos history & whatnot. Possibly a sparring partner to train alongside with
Sanji - Yamato has been starved, abused & neglected just like Sanji. Incredible disdain towards their fathers, plus both have a great appreciation for food. Possibly might be the one female of the crew to entertain Sanjis over the top display of love when he serves the ladies.
Usopp - considering Yamatos desire to be free & travel, alongside reading Odens journal & learning of the vast world probably gives her a wild imagination since that could be the thing she held onto as a child to keep her going. It likely that Yamato,l would actually believe in Usopps lies & his grand tales of adventure ( which is funny considering he's the cover story for this chapter ), like Luffy and Chopper. No lie, Yamato might actually think Usopp & Sogeking are 2 different people, maybe lol.
Nami - being trapped, yet one was allowed to sail the seas for a while while the one who looked out for them as a child were both killed execution style.
You can probably find similarities between the other strawhats as well... but I find it funny how Yamato might have a tie in with the East Blue crew.