Is there any slight chance that time travel is possible?

"Warp" travel may someday be possible but to travel ahead or behind in time will likely always just be the stuff of movies

Yes. Every time you move, time slows down a tiny (almost immeasurable) bit. If you went fast enough, this would become a negative number and you would travel backwards in time. However, you'd have to go around ~2700 times the speed of light to do so, which is impossible.

I'm currently traveling forward in time at the rate of roughly sixty seconds every minute.

Not in my universe. You can exploit time dilation to reduce the time you experience traveling, but there's no way to generate enough energy to make it practical. Others seem to think the absurd outcomes of their calculations are proof that impossible things can be done.