Say i make a maneuver and bumb the back of a ship and then that ship does a one forward, can i shoot them in the combat phase?

Yes. Only ships you are touching in the combat phase cannot be shot (outside of a few specific circumstances).

You answered your own question. Oh wait, I guess it's just the same forum ID pic

But in any case the restriction on targeting each other is dependent on the two ships still being in physical contact with each other after an overlap had occurred. Other things may prevent attacks and two touching ships can attack other ships but just not each other barring special abilities that would allow such a thing.

I can come up with an example where you could bump into the side of a ship and you could still be touching despite it completing a 1 straight but it is very rare and applying a very literal reading to a certain rule. To me completing any maneuver that isn't a stop/speed zero should break touching unless there is a new overlap.