Yes, I've noticed several fragrances that have a topnote phase that lasts less that a minute. I think of it as the ontop note. It's like part of the fun of drinking champagne is popping the cork. I don't know if there is really a note that lasts a minute or if it merges with the other top notes so quickly that I simply can't keep track of it. Most notable to me is the opening of AG Eau de Camille, one of my all time favorites. The first minute has the most divine mint and lilac combo! In two minutes it has settled as the lilac strenthens and deeper green notes emerge for the main top phase. I love it still, but I always spend a couple of minutes after I apply to catch and enjoy the minty minute.
I think that's part of why I love EdC so much. It tumbles out and blossoms like time-lapse photography.