As of today, November 16th, you can access Inkitt through an app on iPhones and iPadds. Huzzah! You can download it through the App Store by going to this link. I highly encourage you guys to check them out (I'm not being paid to say any of this by the way. I just really like what they're doing and want to help them out.).
Just in case I missed anything or I didn't do their site justice you can watch a video all about what they're about here: