Does iPad os 13.5.1 allow Zoom to load?

If you mean the Zoom App, yes it does. Go to the App Store and download the Zoom App for iPad.

If the App is misbehaving, resolution of a problem is often as simple as removing the App from the iPad - followed by a forced-restart - and then downloading the App once more from the App Store.

To remove an App, touch-and-hold the App icon - then select Delete App from the Action Menu.

To force-restart your iPad:

• On an iPad with a Home button: Press and hold the top button and the Home button at the same time. When the Apple logo appears, release both buttons.
• On an iPad with Face ID: Press and quickly release the volume up button, press and quickly release the volume down button, then press and hold the top button. When the Apple logo appears, release the button.

I hope this guidance is helpful in resolving the problem.

Delete the App, then reinstall it. If that doesn't help, contact Zoom directly as the app is not an Apple Product.