The short answer is yes but, in my opinion, that's a bad idea for a couple of reasons.
First off, adding the water risks bacterial contamination. You could boil it and cool it before adding it, but the risk is still there. Second, adding the water guarantees that you'll be introducing oxygen into the fermented wort, which will cause staling and off-flavors. Third, and finally, the water won't do a good job mixing with the fermented wort, because there is so little agitation caused by yeast in a secondary vessel - on the contrary, the whole point of secondarying (insofar as there is one) is to aid in settling. Stirring, on the other hand, will just add more oxygen, which is bad.
More important than all of that, though, is the fact that adding water will, well, water down your beer. If you're already transferring the fermented wort to secondary, then it should be basically done fermenting and at the appropriate final gravity. Why would you want to lighten it? Particularly if you're adding a half gallon of wort - more than 10% if you're topping up to 5 gallons!