Is it possible to view image names in iPad Photos?

You may want to send a feature request to Apple. It would be very useful, if we could see the filenames or titles/captions below the thumbnails, like on a Mac. It is still not possible on the iPad, the iPhone, or on the Vision Pro. You can use the feedback form: Photos for iOS - Feedback - Apple

The file name should be shown as part of the information pane shown when you swipe up on an individually displayed picture, but not as part of the grid of thumbnail images.

Here's and example of the Info window that markwmsn referred to:

The first line is the Caption which I had entered. The caption is searchable, so I tried to include things I might search for.

The filename is below the date in the info window.

In Photos on a Mac, the title appears beneath the thumbnail image, but the title doesn't appear in iOS. In the absence of a Title, the filename is shown below thumbnails in Mac Photos.

In Mac's Finder, which is a File Manager, not a photo manager, the filename appears below thumbnail icons.