I think this is a bug, But can't wear a chestplate and Elytra at the same time

Put the summary of the bug you're having here
Not able to wear Chestplate+Elytra at once
*What I expected to happen was that I'd be able to glide during battle
Describe what you thought should happen here
I think there should be a way to combine the chestplate+elytra
*What actually happened was there's no way to do it
Describe what happened here
I can't use the two objects at once
Steps to Reproduce:
1. Put a step by step guide on how to trigger the bug here
Put on a chestplate
try to equip elytra as well