Introduction:
In the story "Mrs. Packletide's Tiger" by Saki (H.H. Munro), it can be argued that the writer is indeed trying to make fun of the main character, Mrs. Packletide, as well as other characters like Miss Mebbin and Loona Bimberton. Throughout the story, the writer employs various instances and narrative techniques to highlight the absurdity and vanity of these characters, ultimately leading to a humorous portrayal.

Mrs. Packletide's Vanity and Ambition:
- The writer mocks Mrs. Packletide's vanity by portraying her as someone who is willing to go to extreme lengths to gain social recognition. She becomes obsessed with killing a tiger just to outdo her rival, Loona Bimberton, and gain fame.
- Mrs. Packletide's intentions are not driven by a genuine love for hunting or adventure, but rather by her desire to be the center of attention and to boast about her achievements.

Miss Mebbin's Manipulation:
- Miss Mebbin, Mrs. Packletide's paid companion, is also depicted in a satirical light. She cunningly manipulates Mrs. Packletide's ambition and vanity to her advantage.
- Miss Mebbin suggests the idea of using a manufactured tiger for the hunt, knowing that Mrs. Packletide would eagerly agree to it. This highlights Miss Mebbin's ability to exploit the foolishness of others for her own gain.

Loona Bimberton's Superficiality:
- Loona Bimberton, the original motivation for Mrs. Packletide's tiger hunt, is portrayed as a shallow and self-centered character. She revels in the attention she receives for her alleged brush with danger during the tiger incident.
- The writer pokes fun at Loona's self-absorption by highlighting her excitement over the prospect of having her photograph published and her name known worldwide, rather than focusing on the actual danger she faced.

Humorous Situations and Irony:
- The writer employs irony and humorous situations throughout the story to further ridicule the characters. For example, Mrs. Packletide's plan to shoot a tiger with a gun loaded with poison fails, and instead, the tiger dies of a heart attack caused by fright.
- The narrative also highlights the absurdity of Mrs. Packletide's desire for fame when it is revealed that she is willing to pay an enormous amount of money to suppress the truth of the tiger's death and maintain her reputation.

Conclusion:
Through various instances and narrative techniques, it becomes evident that the writer is indeed making fun of the main characters in "Mrs. Packletide's Tiger." The story satirizes their vanity, manipulation, and superficiality, ultimately creating a humorous portrayal that exposes the absurdity of their actions and desires.