No. If you've maxed out your StreetPass tags in a particular title, you won't be able to exchange StreetPass data with anyone else until you clear your tags.Anyway, what I want to know is that if MY game's queue is full, will somebody else get my data or is it always a one to one trade?
It's really annoying when people at conventions and other big events don't bother to check their 3DSes, and their StreetPass Mii Plaza (and/or other titles) gets maxed out and no one else can get their Mii (or whatever StreetPass data is exchanged for the title). If they have other StreetPass-enabled titles that aren't maxed out, they'll still exchange that data, but you won't be seeing their Mii in your Plaza (unless you get it from another title via Invite Mii, but that doesn't count as a StreetPass tag for Mii Plaza and you can't use the Mii in Puzzle Swap or Find Mii). That's why it's so important to check your StreetPass tags regularly at huge events like that.