Doesn't look like so, first there are two silicon diodes, so you are closer to 1.4V drop, so you are about 5V there, then the forward bias of the colector base junction of the 2n3906 and the 10k resistor to ground, but that resistor will see about 4V, so 400μA wich will be coming from the emitter base polarization.
if you started with a full battery at 6.4V, 0.7V at 1n4148s, 5V from bat, 5V from supply so let's say no current flows through Q2 collector. The RTC would be powered from the bat even while the PS is on, wasting battery energy powering the thing while not needed. In any case it should last for years powering the RTC, close to it's shelf life, and not much energy can be drained out of the battery over 6.1V or 6.2V where this won't happen any longer. So you wasted one month ot two of battery life from a few years, not a biggy. This if the thing happend to be powered most of the time during the first few month of opperation, otherwise it would just be the same.
At the end, nothing to worry IMO.
JS