Can you transfer Google Play apps to an iPhone?

I'm planning on upgrade my outdated Galaxy SIII to an iPhone 6. I was wondering if you could transfer all my purchases to my iTunes account. For example, I have VSCOCam, which is free, but I bought a set of filters for like $5.99. The App store has the same app but I just don't want to purchase it twice.

No. That's like asking if you could in effect play a PS4 game on an Xbox One. Different OSs.