I am not sure I completely understand what you are asking. Relativistic time-dilation is a well-known phenomenon, both in special relativity as well as in general relativity (it's how radars can tell speed and direction as well as distance). However, because of the finite speed at which light travels, you can never observe another object in the present, whenever the 'present' happens to be. Thus I don't believe that the philosophical distinction of whether any time other than the present 'exists' is something that science has any purchase on at this time.