No.

either replace all of it,

or, do the carpet,

or, those are really the only choices that will look good.

putting in some other LVP that 'matches' what you have will look like a fail. a horrible fail.

putting in tile could be an option, but not the best one.

ripping all of it up and replacing w/a nice engineered real wood floor would be the best option.

replacing the carpet w/new carpet is the 2nd best option

You can not 'match' so you need to contrast/co ordinate. If you choose to rip out existing floor perhaps only the DR needs to exactly match LR and cost a lot less than replacing all. Am I correct in reading between the lines that your floor is not genuine wood?

I would consult a wood flooring professional in order to determine if you can do a nice match. Getting very similar wood and running it the opposite direction of the current floor might make it work.

Real wood can be sanded down to be refinished and match new real wood. Fake plastic stuff just goes in the dumpster.

What is the existing flooring ? That is the real question

I would call the flooring manufacturer and ask if they have a suggestion. Maybe they use the same color but have renamed it something else. Or have some leftovers. Or otherwise just have a good creative solution.

Then i would go to every flooring store in town (ideally with a sample of your existing floor) and bring home 50 samples. You probably won't find a good enough match, but if there's even a 10% chance that another company makes almost the same colored product, it's worth it to spend a saturday afternoon driving all over town pulling samples. To go this route, it really has to be a true match - one that people wouldn't notice once installed. Again, unlikely to find it but still worth trying.

Barring either of those solutions, go with the suggestions above (replace other rooms, or use contrasting tile or carpet floor in this space).

I'm in the same situation. I saw online a great idea. Find a complimentary wood floor and run two rows of the planks around the perimeter which provides an appealing delineation between the two rooms. You then run flooring as usual in the center so the two rows are basically outlining your room. It sounded interesting to me.