Is it possible to go in past even when traveling with speed of light ?
No it is not logically acceptable as Universal Laws can never allow it.
Space is an entity and shares the same present in its every part.
What is present ? Present means a special time when everything is occurring. We call past everything that happened. Some events shared same past and some are sharing same present.
What is past? A particular past is situation and condition of everything in space at particular event .
A small thing even travelling with speed of light can never have such energy that change physical conditions of entire mass/energy in space.
It is clearly impossible to go in past.