There is always the chance for war, but it is a very slim chance. The situation is quite clear that even without the support from the U.S. military, South Korea will be able to beat North Korea no contest. Yes, the North Korea will do some damage with thousands artillery they have installed in the mountains near the border, but their monument will not last. They have inferior technologies and training, and they are low on food and fuel.
The bottom line is, how will they fight an all out war on low blood sugar?
Now lets talk about the slim chance. With the status quo, nothing will happen. The only chances there can be a war is that
1. South Korea and the US decide to take down Fat Kim.
2. North Korea regime is about to collapse or become unstable, and Fat Kim and the high ups want to divert attention outward.
Other than that, I do not see anyone want to have a war. Well, maybe the US military industry complex would want it.