No. The Canon Camera Connect app can not do what you want. Once images are deleted from the SD card, the memory space that those files occupied is marked as empty so that it can be used again. However, your images are still there, but the catch is there is no longer a map to those files in the File Allocation Table (FAT). So, you need specialized software to put them back together, provided you haven't used that SD card since files were last deleted.
You may have to pay for the software, but most have a free trial. Generally, the free trial will find your files but require a fee to restore them, so it boils down to how bad you want the files. It's been a while since I've used these types of apps, so I can't make a firm recommendation.
A quick search turned up several, but "Recuva", is what I used a while back.
Newton
