Highly doubtful. Ya it will possibly escalate but both nations are big enough and well armed enough to battle it out between themselves without other countries getting involved.
That's how I see it. It's a possibility neighbors will get involved, but it will be like in Ukraine where some countries supply a side, but try not to cross that imaginary line in the sand. For instance, Russia is pretty careful not to hit any NATO country with its missiles and drones, while Ukraine could do much more "terrorist style" damage in Russia, but is trying to only target military personnel.
Europe will not get involved in this conflict, which is why there's no way for it to become a World War. I also don't think that Trump will do much as he's already actively participating in some conflicts, like Ukraine, Yemen and Taiwan.