Well, that’s a good try, and we sure can’t fault you for it, but you can only get one device charging at a time. So, pick one—MOGA Boost powering your phone, or wall socket powering your MOGA.
We can’t make that decision for you though, so maybe do some experimenting, see which one really gets you going. There’s a whole wide world out there, with very few restrictions. Other than this one we mean.