Welcome to the community.
Yes, you can use the Apple Lightning to USB3 Camera Adapter with your iPad to transfer files over a USB connection - the iPad will also require update to iPadOS13.x or later. The Apple USB3 Camera Adapter will allow you to simultaneously connect both your flash drive and an external charger to your iPad - as most external drives require more power than the iPad can provide.
Assuming that your computer lab uses PCs (or both PC and Mac), you must ensure that your flash drive is formatted using FAT, FAT32 or exFAT - with a single partition - as these are the only device formats that are universally portable between iPadOS, PC and Mac.
If you meet all these requirements, you should be okay 🙂.
I hope you find this helpful.