@vrandan, you can do that by adjusting your "Game Frame Settings". Experiment with this by dragging the borders and you will see that a small window will result in tighter tracking of your character. A wider border setting will see the character travel the width of your screen before screen panning happens.
Will the narrowing of the game frame crop the scene tighter and you'll lose a portion of the scene? Also - is this the same issues as a character running and clinging the the right edge when moving forward (i.e. portrait formatted platform game)? How do I keep the character from getting too close to the right edge? (Should I use a transform logic piece and simply set them back?)