Will is correct that "fate" can be used as a singular noun, with no article. However, it's also perfectly common to say "the fates." The plural form is a reference to ancient Greek mythology. In Greek mythology, there are three "Fates" (three goddesses who control human destiny). So you can say either "Maybe the Fates played a joke on me" or "Maybe fate played a joke on me." Technically, if you're referring to the goddesses, the word "Fates" should be capitalized.
References to the Fates are common in English literature, so the plural form is perfectly normal. Maybe it's a little bit literary. (It sounds perfectly normal to me, but then, I'm a literature teacher.)
To me, the sentence "Now it's laughing at your life and mine" sounds a little strange, because "fate" in the singular usually isn't really regarded as an intelligent being. Fate is just a force; it doesn't really have emotions. The sentence is grammatically not incorrect, and you can certainly use it if you want to. But to me, the plural version makes more sense, since "the Fates" are goddesses, and it doesn't seem strange for them to laugh at someone.