In terms of the intent of your question: Absolutely not.
Here is the text of the effects of the spell True Seeing:
"This spell gives the willing creature you touch the ability to see things as they actually are. For the duration, the creature has truesight, notices secret doors hidden by magic, and can see into the Ethereal Plane, all out to a range of 120 feet." ( PHB: 284 )
This spell gives the willing creature you touch the ability to see things as they actually are. For the duration, the creature has truesight, notices secret doors hidden by magic, and can see into the Ethereal Plane, all out to a range of 120 feet.
— Player's Handbook, p. 284
Here is the text of the condition called "Truesight":
"A monster with Truesight can, out to a specific range, see in normal and magical darkness, see invisible creatures and objects, automatically detect visual illusions and succeed on saving throws against them, and perceive the original form of a shapechanger or a creature that is transformed by magic. Furthermore, the monster can see into the Ethereal Plane within the same limited range." ( MM: 9 )
A monster with Truesight can, out to a specific range, see in normal and magical darkness, see invisible creatures and objects, automatically detect visual illusions and succeed on saving throws against them, and perceive the original form of a shapechanger or a creature that is transformed by magic. Furthermore, the monster can see into the Ethereal Plane within the same limited range.
— Monster Manual, p. 9
Simply put, the spells Non-Detection and True Seeing have no interaction whatsoever. A subject who is enchanted by non-detection is not detectable by scrying magic, magical sensors and the like. None of those are components of the condition that is Truesight which is granted to the recipient of the spell called True Seeing. The creature being viewed is simply standing in plain sight, they are not the target of any kind of spell or magical effect whatsoever outside of their own spells.
There is even an argument to be made that it would be disadvantageous to have the spell invisibility on you while in the presence of such a creature as they would "automatically detect visual illusions", which is what invisibility ostensibly is.
Also: a creature who possessed Truesight would still not be able to use divination magic to detect a creature who was under the protection of Non-Detection. For example: Spells such as alarm, clairvoyance, clairaudience, locate person, etc. The constructs and effects created by these spells do not have the condition truesight, and therefore would still not be able to detect the protected individual, so those things in turn would not be able to transmit that information to the creature with truesight regardless of its own condition.