Does cutting your hair make it grow faster?
Hair growth happens entirely at the follicle, beneath the scalp. A trim removes length from the visible shaft — it has no physical connection to the follicle's growth rate.
What a regular trim *does* do is remove split ends before they travel up the shaft and force a bigger cut later. Less breakage at the ends can make hair look like it's grown more, simply because you're keeping more of what grew.
So: trims don't speed up growth, but they do protect the length you've already got.