Wiktionary
vb. 1 (context transitive English) To grow in size, so as to be able to fit something (especially an item of clothing). 2 (context transitive English) To become accustomed to something by mature.
Usage examples of "grow into".
His son would grow into the Brave New World, and his father would be one of those who tried to ensure that it would be a safe one-for him and all the other kids whose main tasks were learning to walk and talk.
These are a few simple ideas which will help you insure your avocado seed will grow into a lovely tree.
Reaching out into the darkness outside of itself, as Herewiss had turned himself outward and sought to grow into the Universe.
Just hold still and let whatever you have saved grow into a fortune.
Tipler's Omega Point hypothesis, which states that there is enough time between now and the end of our finite universe for intelligent beings to grow into Godlike intellect and power.
He would grow into a rich, jolly old man, at times a little sentimental about women, but emptying his glass with anyone.
Men would say she had my look, but she will grow into a woman far more beautiful than I ever was, you can see that.