That appears to be a delicate but valid link. The idea of swiftness that characterizes the Gospel of Mark is present in the verse you quote (Acts 19:29).
Strong's Concordance says that the word for "rush" in this verse could also be translated as "run (violently)", cohering with the mentions of "running" in Mark. Interestingly, this word appears thrice in the Gospels, one in each Synoptic, and describes the same event: the herd of swine who ran violently down to the sea. It is interesting because the triple occurrance is centered on the Gospel of Mark, just like the triple occurance of the "eye of the needle" which is the literal meaning of the letter Quph that governs the Second Gospel.
The word appears elsewhere only in Acts 7:57. So it seems that we have a subtle link in Acts 19 to the Quph KeyWord Qal (swift).