Yes, it is possible to initiate using the hand brake, but it is not at all the best technique for entry.
If you follow drifting in Japan at all, or any of the current good drifters you will see handbrake entries are hardly used
The best people do not use handbrake entries. Look at Suenaga, Nishida, Streeter. They all have amazing, unique style and do not use a handbrake to initiate a drift. This is a very recent video from Nikko, look at the technique and you will see they do not use handbrake for initiating
The amazing video of Streeter drifting Meihan
High speed on Nishi course at Ebisu
Suenaga in a near-stock 180sx
Handbrake entries are outdated, 'Aussie' and low-skill.