Yes you can easily lose weight when jumping on a trampoline everyday or every few days.
Jumping on a trampoline for 30 minutes or longer each day can burn off several calories and you lose weight as well as belly fat all while having a good time.
I started using our outdoor trampoline along with my kids and I dropped over 60 lbs of weight in a year and I wasn't even trying to lose weight but I did need to lose the weight.
I though I would just have fun but I also lost the weight while having fun.
Jumping on a trampoline is also a good fun cardio workout and you can improve your heart health as well as lose the weight.
So you'll likely live much longer as well as drop the weight you want too lose.