I'm not sure that it entirely answers the question, but Invaders of the Infinite by <PERSON>, published in 1961 (though title page says earlier version is 1932), has its heroes travel in time due to use of a time distortion field and a space speed field and an accident during a fight with an alien ship:
Tried an experiment, and it was overly successful," replied <PERSON>, a worried look on his face. "I tried combining the Thessian high speed time distortion with our high speed space distortion—both on low power. 'There ain't no sich animals,' as the old agriculturist remarked of the giraffe. God knows what speed we hit, but it was plenty. We must be ten thousand light years beyond the galaxy."
When they try to return to Earth, they find they are in the distant past:
With <PERSON>'s help, and by coming to rest near several of the stars, then observing their actual motions, they were able to determine their time-status. The estimate they made finally was of the order of eighty thousand years in the past! The Thessian ship had thrown them that much out of their time.
To return to current time, they turn on the time field and sit motionless with respect to the sun:
"As to getting back—that's a question."
"Which is," added <PERSON>, "easy to answer now, thank the good Lord. 489
All we have to do is wait for our time to catch up with us. If we just wait eighty thousand years, eight hundred centuries, we will be in our own time."
"Oh, I think waiting so long would be boring," said <PERSON> sarcastically. "What do you suggest we do in the intervening eighty millenniums? Play cards?"
"Oh, cards or chess. Something like that," grinned <PERSON>. "Play cards, calculate our fields—and turn on the time rate control."...
...We might just as well travel slowly on the time retarder, and work on the way. I think the thing to do is to go back to Earth, or better, the solar system, and follow the sun in its path."
So, it seems that they can control their rate of time passing, but not necessarily time-travel as such, without the accident. 489