No? Why do you think so? She even mentions that she has a tough time imitating Nodoka, and, disregarding that Sensei is not gonna remember that conversation, she doesn't even really say anything to him.
She knows he won't remember any interaction they have. So why talk to him at all? Any conversation she has with Sensei is for our benefit, not his. The point of that scene is to set up some worldbuilding.
1) That the area beyond the barrier exists outside of time, so there's essentially a time bubble around Kumon-Mi that's isolating it from the rest of the world (which should make the reports from the war about Maki and Haruka's husbands immediately suspicious)
2) That within Kumon-mi there is a set of rules that become more flexible outside of it
3) That any time a character is behaving out of character, it might not ACTUALLY be that character
4) That Sensei has to learn things in a set order, and that he cannot really handle learning too much in the wrong order -- which recontextualizes what Maya believes about how learning anything at all about his past breaks him. It's not that he can't learn anything about his past, it's that he must learn these things in a set order, and when that order is disrupted, that's when he breaks.
In that scene, Nodoka is sus from the outset. Sensei even calls out the fact that she's picking up and breaking the same mug repeatedly. She's able to lure Sensei past the barrier -- which we now know is not just a military security barrier, but also a barrier of space and time. She vanishes without a sound.
If it wasn't Daisy, it was someone else with similar powers, but it certainly wasn't Nodoka.