For some bands, the more expensive tickets sold through Ticketmaster include a meet and greet option. However, as of 2015, no meet and greet tickets for One Direction concerts are available for purchase. These are usually reserved for promoters, sponsors or contest winners.
The popularity of One Direction, and their loyal fanbase, unfortunately provides a target for fraudsters who may seem to offer tickets to meet the band. Treat any unofficial websites offering these tickets with caution, as they may charge inflated prices for a meet and greet that never actually happens. If in doubt, always buy tickets through the official tour website.
When meet and greet tickets aren't available, there are other options to meet the band. Before and after concerts, there are sometimes opportunities to wait for the band to enter or leave the venue. This isn't for everyone, however, as the sheer volume of people waiting makes it difficult to get close to the band.
Another option is to enter a competition to win the chance to meet One Direction. While the odds for this sort of competition aren't great, for those fans lucky enough to win, it can be the experience of a lifetime. To find out about competitions, check online and listen to your local radio stations when the band is near your area.