Yes, there is such a thing as the tickets. If you go to the shop, if one of the items there is like a picture with a dotted line on the right - hand side, then that is a ticket. They range from 2200p to 5500p.
There are five tickets, each has a different picture on it which corresponds to the destination. You can see exactly what they look like on Ra's V3 item chart.
The locations are those marked on the travel brocures in the travel office in TamaTown: China, Switzerland, Hawaii, Australia, and Chile.