We know that Hogwarts students learn how to do nonverbal spells in the 6th year. From which point they are expected to use magic nonverbally from there on out.
We also know that some wizards can do wandless magic, such as Hermione with the Confundus Charm at the Quidditch trials.
Both of these variants come with warnings that:
Wandless magic [...] could be volatile and was often difficult to perform - Wandless Magic
and
Performing spells non-verbally is very difficult and requires a good deal of practise - Nonverbal Spell
So my question is, is there any instance of a wizard/witch casting spells/charms/hexes/jinxs both nonverbally and without a wand? And if not, is this explicitly stated to be impossible?
As a note, I mean intentional magic. The random loosing of snakes on 11th birthdays does not count.
This is not a duplicate of these other questions since none of those answer if a spell can be performed BOTH nonverbally AND without a wand at the same time.
For the second time, this is not a dup of Are there any spells that a wizard/witch can cast without a wand in the Harry Potter universe? because that question deals with wandless and nonverbal separately.