I don't think time travel to the past is possible because it violates causality: your grandmother is old before she was born? Creating an alternate timeline along with an alternate identical universe to achieve time travel to the past seems outrageous to me but I don't know.
No- it boils down to INTENT. Do you indend to send someone back in time knowing they will change history and undo their history? How could you fund millions for a time travel experiment that yeilds no measurable results (because success means unmaking the future)? Who would send a time traveler back in time with absolutely no payoff?
This does not, however, make causuative time travel impossible.