Possible considering a number of BF titles have launched in June or earlier, but I think it is unlikely. Most likely is an October/November release.If it was a surprise release in June that would be pretty insane. Summer doesn't usually have s*** going on for games so would be big. Maybe have the announcement trailer early June and then at the end just say, oh yea and by the way it's out at the end of the month.
But, I do hope you're right. BF in June/July would be great.