No, it doesn't have a name. An author is free to select any POV and tense in the novel, changing it from scene to scene or chapter to chapter.
It is very common to shift the POV character and change whether it is 1st or 3rd, or even 2nd, though 2nd Person View points are not very common -- Big Lights, Big City is one that is held out as an example of doing it well.
The only constraint on shifting POVs and tense and view point characters is don't confuse your reader -- by being sloppy. It's okay to mislead your reader, that is totally cool. Mystery and Thriller writers use this method of shifting POV characters around to build suspense and raise the stakes in a story. It permits the author to effectively keep information from the reader to share information with the reader -- depending on the goal at the point in the story -- so the reader knows what is lurking behind the door and the POV character doesn't have a clue. Or the other way around.
It is a technique to keep a story moving and magnifying the intensity of the experience.
When the narrator injects themselves into a story, it can just be a narrative style. That the 'I' isn't really the narrator, but an embellishment of language. Sometimes it is the narrator stepping into a story and that is one form of direct address or breaking the fourth wall. But, since those terms cover anything from a soliloquy in Hamlet to Terry Pratchet's authorial intrusions to Deadpool's running commentary to the audience. Steven Brust used it quite a bit in some his writings derived on the Three Musketeers, where a historian narrates the story. In that case, it was the author adding commentary to the story in the guise of a narrator providing color commentary.
So it depends on what it is, and how it is used. It isn't really one thing or another, but may be a mix of a few things, and it may be terrific or it may be terrible.
It takes a skilled author to use it well. Though many poor writers try to use it in imitation.