Depends what giving up entails.
Giving up on one thing for another that is better is one thing, giving up on life all together is wrong.
Replant yourself in fertile soil, don’t throw yourself on the cement. Explore other options, and if throwing the fight is right so you can start over, then do it.

don’t throw the foght of life bc ily! thats why.
otherwise beautiful poem

“The grass is always greener on the other side.” But you have to go look.

You have a tried and true premise here, and this piece has a lot of promise. However, you should work on being consistent in your meter and rhyme scheme. Most of your poem is in ABCB, but the second to last stanza randomly switches to ABCAC, which was kind of distracting. If you adjusted that and tweaked the meter in some of the other stanzas, this would be five pencils for sure. Keep practicing!