Follow the car and see if its dog tracking: Like an airplane in a cross wind, it runs at a fixed yaw angle while going on a straight path.
The 'dog tracking' (never actually heard it called that) is caused by the front and rear axle geometry not being parallel to each other. This was actually fairly common on older pickup trucks.
The cause was a misaligned factory installation of the rear axle, not being perpendicular to the length of the vehicles frame.
Some were so bad that when following one, it appeared that the vehicle was going down the road somewhat sideways (which it was, actually).
If the alignment mechanic wasn't aware of it, it usually resulted in the steering wheel being off centered after he set the toe in.
However, 'dog tracking' in itself is not a cause of pulling to one side (unless, of course, you're going fast enough for wind resistance to factor in

)
Generally, if a vehicle WAS running straight, it does not start pulling to one side because of misalignment unless a front suspension or steering component has worn severely enough to cause a substantial change in the alignment geometry, or if the vehicle has hit something hard enough to bend a steering or alignment component, or if someone has changed the alignment from its proper geometry.
The two most typical things that cause pulling to begin are:
* A tire or tires not inflated properly
* A tire or tires worn in such a way as to change its rolling
characteristics (when radial tires first came out, they were notorious for this even when brand new)
Assuming the tires are inflated properly, although I wouldn't say it's impossible for a rear tire to be causing a pulling to one side, I would say that it's highly unlikely and if so, it would be very slight.
If it is a tire causing the pulling, it is likely one of the front tires.
Simply switching the two front tires with each other and observing any change should reveal this.
Of course, there are other things that COULD cause pulling, such as a defect in the power steering or an alignment shim becoming loose and falling out, but if the vehicle was going straight, the other things are fairly rare compared to the tires.
By the way, when testing for pulling, be sure to select a straight, level (not crowned) section of road.