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If you don't have an active data connection, you really only have factory reset option. I know there was a bug on some HTC phones that would let you get past the lock if you did something like press the power button before the phone fully boots (or something like that, i don't recall exactly, but Droids i don't think have anyway to bypass the lock.
Now, if you are sure your wifi or 3g is active, then log onto the gmail account the phone is registered to from a pc and change the password. Then reboot the phone. When it asks you for the account credentials, enter the new password. See if that will work for you.
Find the forum for your model phone and ask the people there is there's a way to bypass the lock screen.