My iPhone 5c is dead, is there any way to retrieve my photos?

Question

My phone suddenly died, and wouldn't switch on or charge. The back-light was on, but no colour/image/symbol. As a result I took it in to Apple and they pronounced my phone dead . Now it won't switch on or anything, regardless of whether I charge it or not. I'm still in the current process of mourning for my loss.
However, I never synced my phone to iTunes or iCloud. Is there any way, no matter the cost, that I could retrieve my images? (they're of my family and little brother, and lots of special moments in the past year). Is there any hardware inside that could be placed into an alternate iPhone that could restore my data? I have no idea myself so maybe I can get help here.
Any help is appreciated x

Answer 1

Apple have since offered me a replacement so I do have a phone now - (it's strange how they didn't take the old phone back, but perhaps it was because they had to run through my service providers that originally gave me the phone and they'll have to catch up with me now)It's just unfortunate that I've lost those photos, but then again, I should have backed them up. I share an iCloud account so that put me off using it but I'll be sure to have everything backed up from this point forwards. I was just unlucky and naive enough to think my phone would forever be fine. Ahh well, looking at the situation from another perspective, I have a whole lifetime ahead to take photos and preserve memories. Others have it much worse and I guess I should be grateful.
So yup, shame on me indeed :/
Thank you for clarifying my issues though. I'll ensure my saved images are stored in the new iPhone too.