RAW does not explicitly specify one way or another, but implies that you may by explicitly stating that Rapid Shot and Burst Fire do not stack (it would have been easier to specify that the weapon could not be set to autofire for Rapid Shot).
That said, Rapid Shot uses twice as much ammo as a normal shot, and if you chose to make a normal attack rather than an area attack with an autofire weapon (without using Burst Fire), you still use 10 shots... which means you waste either 11 or 20 rounds with a Rapid Shot (depending on GM interpretation), as well as taking a -7 penalty to the attack.
Yes, though the latter still requires that you have an autofire weapon (most starfighter or transport laser/blaster cannons do have an autofire function, however). This also negates the penalty for not having sufficient Strength while using Rapid Shot/Burst Fire (introduced in the updates, clarifications, and errata file, replacing the Strength prerequisite).