Peter Parker: Mr. Stark? I don’t feel so good…

Tony Stark: You’re all right.

Peter Parker: I don’t… I don’t know what’s happening. I don’t know… I don’t want to go. I don’t want to go, sir. Please. Please, I don’t want to go. I don’t want to go. I’m sorry. (Peter disappears)

From the movie Avengers: Infinity War (2018)

Quote meaning
This quote comes from the most memorable scene from Infinity War, because the audience could cry they eyes out. After Thanos snaps his fingers and half of the population is disappering, Spider-man is turning to dust a bit slower to be able to deliver these lines, leaving Tony Stark and all the views a sad mess in the end of the movie.

Was this scene scripted like this?
There are specullations that Tom Holland improvised this scene and it is partially true. The parts “I’m sorry.” and “I don’t feel so good.” were actually in the script. When filming the scene the directors were speaking with Holland how they wanted this scene to go and mentioned “you’re don’t wanna go.” All these parts were then put into reality through Holland’s acting with the support from Robert Downey Jr.

Meme: “I don’t feel good”
Altough the boom of this meme was after the film’s premiere, there was also similar meme in the past. With the end of Infinity War it just got updated with new material. Memes are usually a reaction to something or recreate the scene with screenshot from other popular movies and TV shows.