Remove extra space in front of the text without outlining it? [Illustrator]

You should kern your text, not track it (tracking is for adjusting uniform spacing in spans or blocks of text, kerning is for adjusting individual letter spacing).

Kerning is located in the character palette, below font size and left of tracking (CS6). To use it, select the type tool and place the text cursor on the left side of the letter you want to adjust (the “E” here). Keep in mind:

• Negative numbers will shift your text left.
• The units are 1/1000 em,
  so you may need to enter a large number like -100.
• You need to be using area type (which is where your type is
  contained in a closed shape, such as when you click and drag with the
  type tool to make a box, or click a closed shape with the type tool
  and enter some text), because you won’t get the desired result using
  point type (when you single click and enter text with the
  type tool) or type on a path.

See also:
Kerning on the Illustrator docs