I have to be like 2 meters away from the LED to focus the LED light with a fresnel lens. Why is that?
You are building an imaging system that images the LED onto another plane: http://hyperphysics.phy-astr.gsu.edu/hbase/geoopt/lensdet.html
The distance you need to be away from the LED depends on the focal length of your lens and the distance from the lens to where you are forming the image. If you want to have the source closer, either get a shorter focal length lens, or move the plane you're focusing on further away.
Is there a way to focus the all of the LED's light somehow onto a small area?
It depends on your definition of small. The above link gives the equation for magnification of your image. To have a lot of energy focused tightly, you'll need a magnification << 1, which means putting the lens far from the source and close to the image. Note that the smaller the source of the light, the smaller the area a given lense will be able to focus it down to.
If it's possible, would it be akin to having a 300W laser? Mostly likely not, but why?
It would not because lasers emit energy more densely than LEDs, meaning for a given lens, you will have a more intense spot than for an LED. For focusing energy, there are two classes of laser that are relevant, single mode and multimode. A single mode laser acts as if all of its energy is emitted from a single infinitely small point, and therefore when you image it down you can form an image a wavelength wide. A multimode laser appears to emit energy from a series of adjacent points, thus when focused down it behaves more like an LED, and cannot form a spot as small as a single mode laser.