Is there anyway to recover deleted Photos that WERE NOT backed up to iCoud OR PhotoStream?

I deleted five or six pictures that I need to get back. I only deleted them two days ago. Is there anyway I can retrieve them? My iPhone 5S backed up to iCloud a day before and Photo Stream is not on. Are there any online programs that can help me recover these photos? Please consider that iCloud and PhotoStream are NOT HELPING. I know MOST LIKELY I will not be able to get these photos back, but it doesn't hurt to try right? I've already used tenoshare, is there anything else that won't rely on iCloud?

Yes, it is possible, see this guide
http://www.asoftech.com/articles/handphone-photo-recovery.html

Deleted files can be recovered even after the Recycle Bin is emptied. This is what I learn from the article. http://goarticles.com/article/Useful-Ways-To-Recover-Deleted-Files-From-Computer/8970376/
but, I have no idea whether deleted files can be recovered from Iphone, just have a try

Sorry, they're probably gone forever.

Yes, it is possible. When you realized that you lost photos, stop using your iPhone 5s immediately. Any operation may cause data overwriting and make the deleted photos unrecoverable. Then you can connect 5s to computer via usb cable. After that, you can rely on iPhone Data Recovery to scan the device and find out deleted photos. Here is a tool you can have a try