However, it is a very common sentiment expressed in many love poems and songs. The closest you might find is in poems that express the desire for a long and loving relationship:
* "Sonnet 116" by William Shakespeare: This sonnet famously states "Love alters not with his brief hours and weeks, / But bears it out even to the edge of doom." While not explicitly stating "grow old with you", it conveys a sentiment of enduring love that could be interpreted in that way.
* "When I Have Fears That I May Cease To Be" by John Keats: Keats writes about his fears of dying young, and how he wants to live a life full of love and creation. He writes "I would love to live and be loved by you." This is a similar sentiment to growing old together, focusing on the importance of love and connection.
Ultimately, "I want to grow old with you" is a phrase that speaks to the deepest desires of the heart, and many poems, songs, and works of art express this yearning in different ways.