Can I hide one of my social media icons for a while without deleting it?

Yes. Go to Settings → SEO Settings → Social Links:

1. Click Edit on the link's row.
2. Change Status to Inactive and click Save.

Or tick the link in the list and click Deactivate in the bar that appears.

Only Active links show on your store, so the icon disappears while the link stays saved with its Name, Icon and URL. Set it back to Active when you want it again. It can take a few minutes for the change to appear on your store.

If you're sure you won't need it, you can delete it from the list instead.