No. It works like this:
The regulator does all the work up to a certain current. That current is decided by the resistor in series with it's input (R1). As current flows through R1, a voltage is dropped across it, when it reaches the turn-on voltage of the B-E junction of Q1, the transistor starts to conduct and the remainder of load current flows through it.
Q2 is there only to provide short circuit protection. The current through Q1 causes a voltage drop across Rsc, when this reaches about 0.8V Q2 starts to conduct and it clamps the B-E voltage available to Q1 to prevent excess current flowing.
The advantage of wiring a regulator like this is that you can make use of the regulators inernal shut-down circuit. When it reaches a certain temperature the cut-out operates and limits or in some cases stops any output current flowing. Because the current from the regulator is limited, so is the input current to the bypass transistor so it also stops conducting. If they are both mounted on the same heat sink the regulator thermal shutdown will also sense the transistors temperature.
Brian.