Yes this is normal.
What is happening is the cap is initially not charged to the potential of the voltage used in the ohm meter. At time zero of connecting the meter to the cap, the cap takes all the current the meter can supply and looks like a short. As time goes forward, the cap starts charging and can no longer take all the current avalable because of the difference between the meter voltage and the developing voltage at the cap. As the cap continues to charge, it's voltage approaches the voltage avalable at the meter untill no current continues to flow from the meter which then indicates an open circuit or infinite resistance.
All caps charge at an exponential rate when charged from a constant voltage through a resistance.
An interesting effect is that all capacitors charge at a linear rate if charged from a constant current.
Your cap is probably fine unless it was dammaged by high voltage which may not show up with the low voltage used in the ohm meter.
Peace - Out, Irv
