No,
The driver is the source. It can not be "reflected by itself".
See it like throwing a stone into water. The waves start at the place where the stone meets the water. This is the source.
But the waves will not be reflected there, unless they come from another source.
A reflection is always different in place and the signal is different in time. (With respect to the source)
The source "as source" is not the problem.
Possible problems are:
* if the destination is not properly terminated, then the signal gets reflected and travels back to the source.
--> use proper termination at the destination
* Or another signal is coupled (capacitive, inductive, conductive) into your signal line.
--> use proper cables and proper wiring.
This does not mean that a series termination is useless at all. It has it's benefits mainly on lenghty signal lines with jumps in characteristic impedance, maybe caused by (bad) wiring, connectors, junctions ....
Klaus