Purchasing BoinxTVHome on iPad

Can I purchase BoinxTVHome on app store, using an iPad or iPhone, and then transfer app to whichever Mac I buy for BoinxTVHome? (deciding between iMac or MacBookPro) Thank you

Unfortunately no, the Apple iOS App Store on iPhone and iPad only offers iOS apps, the same selection as iTunes on Mac.

The Mac App Store is a totally separate channel that only shares a similar name.