No, you couldn't "spring back" after the attack because the charge requires all movement to happen before the attack...
It is a little murky as to whether you could benefit from the spring attack feat as you charge in though. For instance, if the creature you are charging has 10' reach, one can argue that spring attack allows you to bypass the attack of opportunity as you charge in.
Spring attack doesn't require movement after the attack, just allows it.
That last sentence has been argued to death in a number of threads on this board though, centering on the semantics of "the character can move both before and after the attack" combined with "Moving in this way does not provoke an attack of opportunity ".
You can, for instance, spend pages of threads arguing about what exactly "in this way" means in the above quotes.
Good luck!
-Skaros