Not really. Generally, you can tell whether "fifth of November, at midnight, local time" is equal to `now` or not as long as you have reasonably accurate information what "local" means. This is a problem of time encoding, because we do define what midnight is, but keep relationship between it and seconds passed undefined as long as possible
And you can do that when "now" is encoded as unix time as well, provided you know what local is. Although, encoding "now" is by definition pointless, since "now" changes with every instant.