Absolutely.  Lyle McDonald bases several of his fat loss / muscle building
plans on such notions.  For example, on his UD2 diet, you'd have what he
calls depletion workouts (low calorie, low carb, hard training but not heavy
weights) to deplete glycogen. Then later that week,  you would shift over to
power and mass building workouts where the training would change as well as
diet (low fat, higher calories, etc.)

Also, if you add in high-intensity interval training type workouts, you can
boost the fat-burning phase of the workouts.

Of course, Lyle's diets are very intense and only a few can follow them for
long.  And you have to do them just right, getting proper amounts of
protein/carb/fats and the right types of fat.  Not for the average Joe/Jane.
If you want to get the true nature of them (I just skimmed one very, very
briefly), google on "Ultimate Diet 2.0" for one, or try the "Rapid Fat Loss
Diet" for another.  His Keto book is required reading, IMO.

Shifting modes can be done quite quickly if you *really* wish to do so.
I've used Lyle's notions on my own.  For example, after a weekend of hard
cycling, which requires that I up the carbs a lot, I'd follow up with a
monday of either fasting or  no solid food (coffee&creamer, no juice), then
a very low cal / low carb tues/wed (with weight training too, mind you), and
moderate calorie / low carb on Thursday, then carb/calorie ramp up toward on
Friday / Saturday.  I found I could go from being fully glycogen filled to
drained in two days (dropping 10-12 lbs of water weight in two days).
However, that ain't easy.  Not eating while exercising (lifting and cardio)
is a quick way to drain muscle / liver glycogen.  But you have to be willing
to suffer.  Most aren't.  I think this activity improves insulin resistance,
too (I can't remember where I read that).