Yes this has been discussed many times. It cannot change the tension, but it *could* change the flexibility, and therefore the "perceived" tension.
http://www.liutaiomottola.com/formulae/tension.htm
how to calculate tension:
T = tension in pounds;
UW = unit weight of the string, in pounds per linear inch;
L = vibrating length of the string (for an open string, this would be the scale length-nut to bridge) in inches;
F = frequency of the note to which you will tune the string, in Hz;
1. Everything else being the same, pitch increases as tension increases;
2. Everything else being the same, tension increases as scale length increases(this is nut to bridge);
3. Everything else being the same, tension increases as unit weight increases, thus a heavier gage string will be under greater tension;
http://www.liutaiomottola.com/myth/perception.htm
By moving the end points of the string (but leaving the string length the same), I think you may change the "feel" of the string-the perception of tension, but not the tension (see above "perception" article) and you may change the break over angle, but that's about it. The string may feel different because it has more room to "move" side to side. To change the tension, but leave string gage, and nut to bridge length the same changes the pitch.
(this info is from www.liutaiomottola.com and is copyright © 2004, 2005, 2006, 2007 by R.M. Mottola, who apparently is a genius)