This is sort of a loaded question. The short answer is yes, if you can purchase the exact same brand and model, and keep the channels aligned (so if you used slots 1 and 3 for the old ones, use 2 and 4 for the new ones). I have done this many many times with no issues as others have here as well. My current computer has a second set of Corsair I bought 2 years later, 0 issues. My previous setup had 2 different brands and 0 issues.
The longer answer and I'm sure a bunch of memory zealots will come here and say is no you can't. You should go out and buy all the same memory at the same time. The reason is that depending on the brand sometimes they change the chip manufacturer over time (Corsair is known to have done this), and if...