Can I hide Virtual Try-On for a while without deleting my product setups?

Yes, two ways:

• Whole store: in Plugins → Virtual Try-On → Settings, untick Show try-on on product pages and click Save settings. No try-on button shows anywhere, and your setups are kept.
• One product: on the Products tab, edit the product, untick Active and click Update try-on. Inactive try-ons are hidden from the storefront.

Turn them back on the same way when your new images are ready. You can also change the Button label on the Settings tab while you're there.