Heel and toe possible - maybe.
Left Foot Braking - no.
Reason is that the sequence is like this.
Accelerator depressed, no braking - as normal.
Brake and accelerator depressed - rpm drops to idle.
Release brake, accelerator (still) depressed - rpm stays at idle.
Release and reapply accelerator - rpm rise as required.
The rpm drop to idle until the accelerator pedal is "reset" by releasing and reapplying, so LFB (where the accelerator is never released) won't work.
For front drive cars, LFB is a more useful technique than HAT. HAT is of much more benefit in rear-drive cars, and is used to prevent engine braking from locking the rear wheels. Under heavy braking, the forward weight transfer leaves the rear wheels light, and more likely to lock as a lower gear is selected.(and to help save damage\increased wear to the gearbox and drivetrain by reducing shock loading)
A front-drive car has it's driven wheels loaded heavily under braking, so there's less risk of locking a wheel on downchanges.