There are plenty of inflatable space-based structures that have been proposed and some number of them tested (large inflatable antennas, inflatable elements to increase drag and bring space debris in, inflatable space habitats).
Granted, nothing is even within a few orders of magnitude of what they are proposing building so there are certainly still technical challenges.
Edit: Another technical challenge is the L1 lagrange point is not a stable point, so the bubbles will require some sort of control system (i.e. thrusters) to perform small orbit adjustments and remain in that spot.
But L1 doesn't mean it won't get hit. James Webb has already been hit at its point in space.
If the James Webb telescope gives a reasonable indication for the amount of stuff floating around these Lagrange points, it would be popped around once per month [1]!
1. Four hits after 5 months: https://www.theatlantic.com/science/archive/2022/06/james-we...
What the bubbles do address immediately is the manufacture of something in space with a high planar surface area compared to the volume and density (for getting it into space).