I flew at 32 Weeks!
I flew to Arizona with my husband when I was 32 weeks pregnant. I was pretty uncomfortable on the plane, but otherwise no issues. Most airplanes won't let you fly after 36 weeks. I was told to have a doctors note with me to prove i was under 36 weeks and that I was okay to fly, but I didn't worry about it because I didn't look very big. I don't think they would have thought I was very close to my due date.
If you're healthy and feel comfortable It's totally fine!