Yes and no. The Skrulls specifically chose Earth's Moon for the Kree (it says this explicitly). But the Cotati had another moon ("each race to a different uninhabited planetoid") in an undisclosed location was not their own moon. It was not their own moon.

But correct, the Cotati were never on Earth's Moon. I think I would rather assume that either the Skrulls "terra"-forming and/or the Kree's cultivation resulted in something for the Gardener to grow on the Moon.