Well , I think it is possible to go forward in time , but i don't call it time traveling. You're actually going to a different time zone , space , and increase the effect by moving very very fast 99.9 % speed of light. When you return , you didn't really go forward in time. Everything about you and around you ages slower. Also the material where the possible super light fast space ship could be build of would be aging slower. So I see it more like you're aging less fast and expierencing time less slow. It's a bit confusing , I know. But I think it's more a personel opinion. I compare it to traveling on earth to a different time zone where it's 8 o'clock will in your zone it's 4 o'clock (4 hours earlier) and you travel to the other 8 o'clock time zone and say 'Hey , i've traveld in time'. Only different is that it is the 'human time' and your aging won't slow down. Time as we know it has been created by humans as a appliance to discribe things that happend are happening or will happen.
BUT I think it is possible to see what will happen in the future. But the problem is , what is the function ? You can't go back in time so it's not like you could warn for disasters and so. When you travel to the future , you will stay there.
If you where able to travel into the future to see that a hurricane killed 1000's of people , you go back in time to make sure they evacuate the area , the future won't be the future as the time traveller saw it when the 1000's of people died. So there is another paradox.
Also , you don't really travel in time by the for now 2 known methodes that theoratical will work (Black hole , lightspeed). Because the time on earth stays the same. So you are going to a place where time is going faster than on earth , you go very very fast to multiply the effect and then you return to the place where time is going slower.
And 'direct' time traveling in the future won't be possible also. With direct I mean like stepping in a sort of gate and you are directly in the future with NO time past neither on earth or time that effects you. Because then , there would be no future because the past that shapes the future hasn't happend yet.
So if you travel 400 years into the future and 8 minutes have passed on earth and like 2 minutes are passed that you expire , would that be possible ? Because there is a big gap between those 400 years and 8 minutes on earth that never happend , not yet. So you would end up in really nothing because there is nothing yet. If there is , than you've got proof that EVERYTHING is 'planned' to happen and a thing as coincidence also wouldn't exist. But then there is no one to tell because a part of the past still has to happen. No past no future. So I think you could call it a paradox so it will never be possible to travel directly into the future if it hasn't happend or is happening.
Travelling above light speed is also not possible otherwise you would be als in nothing because the light of everything hasn't reach the point where you are at that moment. So you also couldn't be there. Because it still has to happen and so I think that even time can't travel faster than light. You could also say that time has the speed of light. Or maybey even a bit faster to stay ahead of light otherwise light coudn't exist if there is no time. Most probally they are parralel to each other.
Excuse me , i'm not a prof or doctor or anything. I'm 15 years old so i'm still on school but that is how I see it and some theories I thought about.