The phrase 'grow large' is correct and usable in written English.
You can use it to express the idea that something has become larger in size. For example, "The tree grew large over the years and provided lots of shade."
The body will not grow large muscles naturally.
Some grow large enough to use as short climbers.
Chenayya saw the woman's eyes grow large with anxiety.
Young clematis plants are unlikely to grow large enough or bloom long enough.
With luck, the plants will grow large enough to make their small purple flowers.
These are brown trout that have taken to the sea where they grow large and powerful.
Microtube-Czochralski technique was employed to grow large size benzophenone single crystal for the first time.
Our technique provides a rapid route to grow large scale graphene using standard microelectronic facilities.
Soft tissues can adapt by increasing their volume and grow large.
Those subsidies may soon grow large enough to violate WTO rules.
Ice crystals can also grow large enough to precipitate either by aggregation or by riming.
