That's an intriguing question with unfortunately, no straight answer.
The data I've collected suggests no, but, we need to know about the state of the trichomes.
Have a look through any magnifying item you can find (I've personally has success with the camera of my galaxy s4 zoomed and focused; a steady had is needed so much!); What are the trichomes like? Mostly clear means the plant needs more time. Milky white (opaque; not transparent) and your plant is ready for harvest for a 'head high' and if they're mostly amber/orange then the high will be more mellow and the pain relieving properties of this species will be realised.
You probably already know this though, right?
Well, different parts of the plant will age at different rates depending on myriad factors; least of all, how much light they're getting.
Inspect each bud's trichomes before harvesting and don't be afraid to leave any that you think need a little longer, on the plant.
To answet your original question, therefore, is not straight forward. You *might* get new bud formation in and around the bottom of the plant, or deep within the canopy - places that don't get just as much light as they'd like. Such buds, if given ample time, could mature into something decent but quite possibly will just be foxy popcorn.
In any case; amber/milky trichome'd buds will want harvesting.
Leave babies and those with clear trichomes to mature a bit longer.
If you deal with the plant on a bud by bud basis, you'll be ensuring that you got the best you could outta that plant.
Also, congrats on the impending harvest