Two separate issues- one, is there nicotine in the vapor?
Almost certainly. Studies seem to say "negligible," but that's not none. At a logical level, it seems to me that there MUST be some, but no studies have found it in levels that will be significant to bystanders.
Second issue- it's his car. I'd do the same. (And I always ask before
vaping in someone else's house or car.) I don't know why it would bother him, but...I have a friend (a pastor) who doesn't like me to
swear in his car. So...I don't. Just being polite.
Best,
Ande