It depends still on what you mean by "modify technique."
Can I draw to a 6' tall target and a 4' tall target? Yes. I wouldn't call that modifying my technique but obviously the two draws aren't identical. I can draw slower to a low% target without changing technique, either, just like someone who indexes might have to "modify" his technique by pausing and refining a sight picture after extension. I wouldn't call that a different technique.
A draw that actually requires my muscles to move in a different path, however, is a problem. It's pretty basic neuroscience. "Muscle memory" forms through repetition. If someone spends his time and energy creating a neural pathway that responds to the mental command draw then that's what's going to happen under stress when the brain screams draw! As I've said before, the concept of falling back on one's training under stress has been a truism for many years.
And it's easily demonstrated. Just look at the contact/ECQC type problem and the way the draw has to change to accommodate it. Whether it's a much different draw than normal or simply stopping earlier in the normal series of motions and firing "out of sequence," as it were, it's a genuinely different technique. Craig Douglas has remarked more than once that it's the people who've thought about and practiced this different draw who pull it off under stress. People who haven't, people who simply believe they're smart enough or tactical enough or calm enough to figure it out on the fly usually aren't as successful.
The close contact problem is a necessary evil in terms of wanting a single all-encompassing draw. No matter how you slice it, a draw that doesn't go to extension is necessarily going to be different than one that does. So that means one more thing to practice enough that it gets its own mental trigger resulting in its own subconscious reaction.
I don't want to add to that a high% draw, low% draw, open field draw, confined space draw, etc., etc.