"The second Flash, Barry Allen, could travel through time but only by running on a special treadmill. He traveled through time only once on his own after breaking the lightspeed barrier in pursuit of a tachyon that was powering a universe-killing weapon (see DC Comic's Crisis on Infinite Earths for the details). Upon catching the tachyon and destroying the weapon, he became pure energy and traveled back in time, seeing his entire life rewind before his eyes, and became the very same lightning bolt that gave him his powers in that crime lab accident decades ago.
The other Flashes, Jay Garrick, Wally West, and Bart Allen (formerly Impulse), have not been able to time travel solo"
I researched and found backing on wikipedia that follows but doesn't say directly what this guy says answering the question "is it true that The Flash can travel throught time?"
"the Flash was the only being capable of travelling to other universes at will, so the Anti-Monitor couldn't allow him to stay free. Allen escapes and foils the Anti-Monitor's plan to destroy the Earth, but dies in the process."
so I think I was right to begin with