Can I temporarily close a store location without deleting it?

Yes. Go to Inventory → Store Locations, click Edit on the branch, untick Active and click Save. The location and its details are kept.

While it is inactive, it is not offered as a pickup store at checkout, even if Pickup point is ticked. Only active locations marked as pickup points appear in the store picker.

When the branch reopens, edit it again, tick Active and save.