Yes it will. It drives my HD800's and T1's, as well as the LCD2's, 3's and T1 v2's I no longer own. In fact, the O2 powers all of these just as adequately as my Violectric V200 and old WooAudio WA2 amp. It just sounds ever so slightly different is all, not because it's worse in any way, but because it's completely neutral, whereas the others colour the sound slightly (the WA2 making things sound darker and bassier, the V200 ever so slightly more musical with a slight sub bass and upper mid bump). The O2 amp ironically enough sounds fractionally more detailed than either of the other two, despite costing orders of magnitude less.
People these days all too easily confuse colourisation with actual sufficient amperage. The O2 DAC/Amp is more than competent enough to power even the top headphones, so long as when you put your order through, you let the relevant parties know what sort of Ohm cans you'll be using with them, so they can tweak accordingly. There's always that gain switch too.
DAC/AMP advice.
To all the would be audiophiles on here, as someone who's spent thousands testing this hobby, in the words of DJ Khaled, don't play yourself. If you want a DAC/AMP that is as good as any out there, and sufficient enough to power pretty much anything, with an inaudible noise floor and complete neutrality, just buy the O2 DAC/Amp combo. It will compete with set ups that cost 10x more, despite what others will tell you. I say this after countless impartial tests and blind tests, else placebo is a powerful thing.
If however you don't want completely neutral amping and signal converting, and instead prefer intentional colouristion (Eg an artificial change in sonic presentation), such as the warmth of certain tube amps etc, then naturally feel free to look elsewhere. I actually use a Rein Audio X-DAC via optical instead of the ODac with my O2 amp or V200, because I like the slight (artificial) smoothness it offers to my otherwise detail slanted, more clinical cans.
Oh, also stay away from the super expensive uber premium cables, power supplies etc too, most/all don't offer diddly squat's worth of a difference. So long as you have half decent cabling, you're good to go.