Space expands like bread expands, everywhere all at once. Your galaxies are like raisins in that bread. The space around them is carrying them while it expands. This means it’s pretty much guaranteed, you’ll eventually be gaining distance from all other galaxies faster than the speed of light. Because the distance isn’t a function of speed, but growth — so it can go faster than c. You, however, can never go faster than c. So, the picture is right.