Erm. Not quite.

There is the Twin Paradox which is due to SR and involves no acceleration at all see http://www.hawaii.edu/suremath/SRtwinParadox.html

Then there is the issue of acceleration and the equivalence with gravity which is a postulate of GR.

What needs to be remembered in the example above is that each twin travels a different "world-line" through spacetime. The Paul twin undergoes two accelerations and two decelerations. The Peter twin undergoes one acceleration. The two are moving through different world-lines and therefore there will be a time dilation effect due to acceleration as well as motion near light speed relative to the inertial frame.