Nah, I mean in the leaked "Infinity War" trailer you see the hairs stand up on his arm and he looks up like right before something happens. So it's obviously an innate skill of his which probably hasn't really manifested yet because it's still early in his career as Spider-Man.His spider sense was noticeably absent in the movie, other than his iron man like suit helping him out.
It felt like the movie went outta it's way to show the viewer that spiderman didn't have Spidey sense yet i.e. him getting caught sneaking into his room twice, not sensing the ceiling was about to come down, having to visually see danger around him.
All this and I remember spiderman having it in civil war but he could have been using the suit then.
I don't think it's a bad movie, I don't to like the direction they went with spiderman and his connection to iron man.
But if you didn't see the leaked trailer I can't blame you for not knowing that.
Fred.