sure you can! The only problem is you're cutting off parts that the plant really wants to keep. So it'll stress it.

I myself have done "prolonged" flowering.. After my initial harvest i kept the smaller buds on the plant and enough fan leaves to keep it going.. it produced a few male flowers but so late into flowering it didn't matter.

I often cut off the initial harvest and continue to flower the plant for a few weeks after.

Give it a try.. i could suggest simply cutting it like a hedge..even and removing only what you need to remove.