It depends on your definition of "any memories". If you don't remember what a second is, there is no solution.
If you remember the "old" definition (a day has 24 h on 60 minutes, each of it is 60 s), and live on Earth not to far from now, you can rebuild an approximate time standard. If you remember the modern definition, i.e.
(the duration of 9,192,631,770 periods
of the radiation corresponding to the
transition between the two hyperfine
levels of the ground state of the
caesium 133 atom.)
you can reconstruct it as good as we can now, even if you are in a spaceship far away from Earth.
That would give you a second duration, from which you can define a time-scale. The next-step is to synchronize your new time-scal with the old time-scale. This is basically what historian do when they translate Egyptian or Mayan date in our modern system of datation. To have something precise, you basically need some record of an astronomical event.
The best analogue I can see is the work discussed here and here, where the difference between the solar time and atomic time is extrapolated in the past, before the atomic clock era. There are 10 s error bars around 1700, and 3h error bar for the year 1000 BC.