No. If the image in the meme is owned by someone else (Movies, TV shows, Video games) then you should get the author’s permission or have to pay them for the use.
Ok, but what about parody?
Parody only works if you are making fun of the original piece of art. If you are using a video game meme to talk about how you hate Monday, then that is not a parody. It is a parody if you critique the original work of art or make commentary on it.
Making fun of the art is a parody. Using the art to talk about another topic is not a parody.
Ok, what about fair use?
Parody is one type of fair use, and like a parody you should comment or critique the original piece of art. Another guideline of fair use is only using the relevant piece of art and only if it moves an idea forward. For documentaries for example if you talked about gorillas in movies you couldn’t show half of King Kong you could only show a few minutes at most, only the relevant parts of it that you are talking about and only when you are talking about it.
Most memes are not copyright free, you need permission or pay the authors of the art you are using. Gorilla meme was created so you can follow copyright laws and still express yourself with memes.