Yes. Time dilation effects every thing the same way. If one ages 25% slower than his twin on Earth, then his cesium clock "ticks" 25 % slower than one on earth does, standard candle burn down 25% slower, the same pond alga in same strength sunlight that on earth doubles in mass in a day will take four days (of earth) to double its coverage area, etc. etc. but note that the alga area doubling life time in their days is also one, the standard candle burn rate is exactly what is for one earth (measure by their clocks) etc. etc.... There is a big difference between the change of a rate of certain processes (e.g., biological processes) and the change of all possible physical processes in a coordinated fashion.
They don't think they are "time traveling" or with "time dilation" The first is the POV of some who know little SR physics and live stationary in a frame that is moving with respect to their's. The second is the POV of those who are better educated about what SR actually predicts. Not one well educated physicist will say that the cosmic ray muons reaching the surface of the earth, did so by "time travel" as that muon example is standardly given in physics courses as PROOF that SR's time dilation is real, not unconfirmed theory.