NO !
People to People trips is a FOR-PROFIT company. It's basically like a tour group with a niche audience, be it high schoolers or other "selected" delegates. Basically, you can travel by yourself for about 1/5 the price, or if you like everything done for you, a normal guided tour for 2/3 the price. Also, if you're thinking it will look good for a resume, many top colleges recognize that this is indeed a rip-off and just something that rich kids can go to, and not counted as an award or honor. So, if you have a high enough income and your student wants to travel, sure, but otherwise, save your money and go on a tour as a whole family for the same price!
*note: be wary of similar companies such as National Honor Roll, Who's Who, etc that make tons of money selling "awards" to students