Yes. There are few ways.
Touch any photo thumbnail in Tap Inspect and a photo viewer will pop up. Tap on the rectangle icon in the bottom righthand corner. An action sheet will pop up that will let you email, text, Save Image, or possibly Air Drop the image.
You can also go into the Report Options of a report and select multiple images at once and save them all to your camera roll at once.
Lastly, you can log into your web account at tapinspect.com and click on a report from the Inspections page. All the photos for that report are displayed as thumbnails. Just click on a thumbnail to view it full size and save it to your computer.
This blog post may help explain in better detail.