No, Gloria. I've lost count of how many trees I've carried on planes. It is well over 20 just for myself. I used to be a fig mule in the days when we all were in the Gardenweb forum. I was living in Texas and working in NJ. I would carry trees both ways for members... until I let Adriatic JH (before they were so widely distributed) cuttings in Houston mold and rot before they got to NJ. To be quite honest, I'm surprised I wasn't expelled from the forums all together. The fact that anybody here still likes me is a testament to the generosity of our community.
I normally get asked what kind of trees they are about 20 times in the airport (not just TSA). Everybody seems to have a fig story to share. One time I offered a TSA official at the Philly airport a fig tree on one of my passes through. He got really excited and took my email address, but I never heard from him. On this particular flight, Barbra was worried the whole day that they would not let me on the plane with the trees. The flight attendant was worried they wouldn't fit under the seat. Since the trunk was curved, I was able to put the container under the seat and you can see how the top rested. She was okay with it.
I think Susie has the right idea. If you have a bright spot inside the house where you can put the trees, the pests can't get to them.