I'm going to take a wild stab at this .... not that I've ever tried it.
If you made the chute out of tissue paper soaked in white glue and water, and then laid it on a balloon about the size of the chute you want to make. Wait for it to dry and then pop the balloon. This might work .... I've used the tissue and white glue / water technique to make tarps before.
Maybe a cheap way to try.
Happy Modelling and God Bless
Robert