No, I think it wouldn't. Nondetection protects against two things:
1. Being targeted by divination magic.
2. Perceived through scrying sensors.
Let's tackle the second one first because it's easiest. See Invisibility doesn't use scrying so that's not applicable.
Now for the first one. See Invisibility doesn't target anyone besides the spellcaster. Being able to perceive things is not the same as targeting them. For some example divination spells which actually do have targets, there's Locate Creature and (funnily enough) Hunter's Mark.
Besides that, it would be silly for a 3rd level spell to make one utterly immune to an entire spell school in every single way. That's not what Nondetection did in 3e or 2e either. (In fact, in 2e it very explicitly couldn't protect you from invisibility-seeing.)
