Yes, exactly.
Times of the Gentiles:
"And when ye shall see Jerusalem compassed with armies, then know that the desolation thereof is nigh . . . and Jerusalem shall be trodden down of the Gentiles, until the times of the Gentiles be fulfilled." (Luke 21:20, 24)
The times of the Gentiles referred to the treading down, or desolation, of first century Jerusalem, which Jesus called "the days of vengeance". In other words, it was God's mission for the Gentiles to bring judgment upon Jerusalem. This is consistent with past judgments upon Israel, when God brought Gentiles armies into their land to desolate it.
The whole controversy centers on the duration of the treading down of Jerusalem. The Greek for "trodden" is pat-eh'-o (#3961 in Strong's Concordance), and it means "to trample down underfoot". The parallel to Lk.21:24 is seen in Revelation 11:2, which says:
"But the court which is without the temple leave out, and measure it not; for it is given unto the Gentiles: and the holy city shall they tread under foot (pateho) forty and two months."
The times of the Gentiles, or treading down of Jerusalem, entailed no more than a forty two month period of time, the exact duration of the Jewish-Roman War. This is in perfect harmony with Daniel 12:7, where the defining characteristic of "the time of the end" is said to be "the scattering of the power of the holy people", which we are told would be accomplished during "a time, times, and a half", or forty two months.