I fly yaks quite a bit, though less lately. You can fly a long curve and let the bagger cut the turn, using geometry and lead pursuit to catch up.
Thats not a "drag-n-bag" its an energy trap to force a flight-path or wing-line overshoot. Which, incidentally, is your most accessible tactical play in a Yak because the bandit will almost always be behind and above you with excess airspeed, and simply legging it isn't an option.
Note that it is very difficult to consistently pull this off if your ping is shit, due to the difficulty in judging the hard turn with ~400ms of lag and the game using what would appear to be client side hit prediction calculated by the shooter.
For the OP:
If you can manage to turn to the bandit's cold-side following either a merge or overshoot, and either they are overloaded with other threats or the turn happens to take you downward against terrain that hides you long enough for them to lose sight, bugging out may be possible. But this is generally not the case.
If you can't bug out you WILL have to turn and fight at some point - its just a question of if, when and how you are able to effect it. I find the J-hook energy trap to be most effective with a single opponent and even with 2 if they aren't well coordinated. But as I said above - depending on lag this can be hazardous.
There is no by-the-numbers maneuver that works. You have to judge each situation and your opponent and make tactical choices on the fly based upon how shit is going, how sloppy or good your opponent is, how much energy you can afford to spend on an angles play etc. You don't always have to turn fight a 109. It is possible to energy fight the energy fighter in some circumstances but this takes a lot of practice and much more skill and patience than for the 109 pilot. It is usually not possible due to the circumstances not allowing you the time needed. Whatever tactic you choose in a Yak you need to get it over and done quickly before the rest of the LW turn up.