Many mysterious things are there to explore to check if there is time travel.Einstein  told it was possible. So i also think it is possible

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It can and cannot . According Einstien and Hawking theories they tell that if a body travels more than the speed of light the body can travel in the past or future. But this has not been proved till now, so we cannot say anything
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well i believe that if u can create a machine that can generate enough power to cut through dimensions then may be you can travel though space and time.However there is no proof that we move in a time loop in which case,we can't state that we can travel forward in time. Also,if there is no proof that there is a tunnel of time then we cant travel backwards.