Absolutely. Your licensed version does not expire. The installer for it is usually found in this path on your PC...
"C:\Program Files (x86)\NCH Software\VideoPad" or a similar path without the (x86).
If it's not there you should be able to register any version that was released within the six-month grace period. Download here.
There's no mandate to update, but you can always test drive the latest, unlicensed, to check out new features or quirks.