Non-Retina?
I've had a complete freeze before which I believe was triggered by the use of a non-MFi Lightning cable. Whole thing just flashed quickly and shut down. Nothing worked including the battery indicator light when I pressed the button. MagSafe light was completely off. No fans. I couldn't force a power down, and I don't even think was really powered up or down, but in some sort of state of purgatory. Hard drive (before I switched to an SSD) was quiet. I tried the SMC reset but nothing worked. About the only thing that I could tell was there was some faint electronic buzzing sound. I did take it to an Apple Store without an appointment and was told maybe come back in the morning to put my name on the waiting list.
What ended up working was taking the cover off and popping off the battery connector and plugging it back in like an old-style SMC reset. I figured my other alternative was maybe to wait for the battery to completely discharge, but that could have required getting into a deep-discharge state.
I'd say if you're near an Apple Store see if you can get an appointment. If you're comfortable with a #00 Phillips screwdriver then you could try the DIY fix. These instructions (steps 1-3 cover everything needed for a battery connector removal) are for the Unibody MBPs.
MacBook Pro 13" Unibody Mid 2012 RAM Replacement - iFixit
