Changing the difficulty of the game to easy, is going to help on this as well as trying to up the lives.
There is two ways of beating this. The first is to just play the game, and that's some what annoying (though the game improves after the first level). But there's an easier way. In the first level after walking to the right, you'll fall off a platform, fall all the way down then, and then move to the right, you'll see 4 flying enemies, you can kill all of them, then walk back to the left (til the area they were in is off screen) and then walk back. The enemies will then respawn.
On average killing all four enemies usually caused one of them to drop 6 photons.
You can farm this area all you want to get this trophy (dying when out of time), doing that it will usually take less than 15 minutes, or play the normal game or do a little of both.