Asking me to bring eggs last minute would get a big 'No'. I buy eggs from a local organic farm. They aren't much more expensive than the grocery store so it is worth it to me. But it is a 45 minute drive, round trip. Not something I'm willing to do at the last minute and I don't buy grocery store eggs any more, unless I'm doing a lot of baking, where the taste isn't so critical.
Next time this friend invites you to something and it isn't billed as a pot luck, ask if you are going to be expected to supply any of the meal before you RSVP. Then you can either turn the invitation down, if they say yes, or remind them of what they said (no) when they call/text you last minute.