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The phrase "growth by" is correct and usable in written English
You can use it to refer to the act of increasing or expanding, either in physical size or in a figurative sense (such as an increase in knowledge or understanding). For example, "We have seen incredible growth by the company in the last five years."
Exact(57)
Continued growth by accretion leads to larger and larger objects.
†"Turning economic growth into nutrition-sensitive growth", by Derek Headey.
The Fed generally encourages growth by pushing down interest rates.
Extremely wet soil also retards root growth by restricting aeration.
Budget cuts weaken GDP growth by shrinking aggregate demand.
Such investment incentives would do more than just help stimulate business growth by providing new capital.
Nevertheless, house price growth is outstripping income growth by a wide margin.
The Penguin Press, 2005 "Can Foreign Aid Buy Growth?", by William Easterly.
The government has stimulated growth by restraining inflation, mainly by depressing workers' wages.
India also pledged to reduce emissions growth by up to 25% from 2005 levels by 2020.
Similar(1)
Those freebies have played an important part in the independent network's growth-by-visibility strategy.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com