No, not quite like the droids. While Genji had enjoyed interacting with them, that's only because he's become quite find of spending time with robots after years passed among the Shambali, though the droids don't have anywhere near the same level of sentience.

Once they're done shaking, he pulls his hand back and nods to Jeyne.

"I arrived right at the end of Gallipoli. It feels as if it's been nonstop since then! Exploring that fish, training and preparing for coming here, and now the mission itself..." It doesn't surprise him that they hadn't run into each other until now. "Have you been staying out of trouble?"

He asks it jokingly. Jeyne seems polite, kind, and unlikely to rub any of the Araneans the wrong way.