There are a couple of things to consider.
If your growth is 0 for that month, it'd be 0 in change from 0. So it is meaningful in that sense. You could adjust by adding a small number, so it'd be change from 0.1 to 0.1. Then change and percentage change would be 0 and 0%.
Then to think about case where you change from 0 to 20. Such practice would result in massive reporting issues. Depending on what small number you choose to add, eg if you use 0.1 or 0.001, your percentage change would be 100 fold difference. So there is a problem with such practice.
It is possible however if you have a change from 1 to 20, then the %change would be 19/1=1900%. Here the % change doesn't make too much sense when you start off so low, it becomes very sensitive to any change and may skew your results if other data points are on different scale.
So it is important to understand your data, and in this case, how frequent you encounter 0s and extreme numbers in your data.