'grow great' is a correct and usable phrase in written English.
You could use it as an exhortation to someone to reach their potential. For example, you might say "Keep striving and you will grow great!".
I am quietly confident that everyone can grow great salads.
Easy to grow, great in stir fries, too – and usually only available by mail order.
And does anyone manage to grow great apricots at home in this country?
In Germany the financial system's job is to grow great German companies.
In any case, no age has offered more interesting examples of the way writers grow great in company.
"I think there's plenty of opportunity on the East Coast to grow great sparkling wine," Comninos said.
Fragmentation of the available audience for additional commercials is like ly to grow greater.
As each new season begins, however, both the scale and the stakes of the drama grow greater.
"We must add to our heritage or lose it, we must grow greater or grow less, we must go forward or backward.
I got to see a creative artist grow greater, observe the ways of a powerful woman and be graced in your presence.
On television David Dimbleby observed the numbers marching seemed to grow greater each year.
