need help from the river police

[waldronate]

It's possible, just not likely or stable in geological terms. Here in the USA there are two rivers that touch and then diverge (the Mississippi and Atchafalaya). However, the junction isn't stable and requires lots of human intervention to keep them apart. This might be the case in your map. Or the distance between the rivers might be a couple of miles (still not stable geologically) and the river controls the ridge between them.

The attached images show one possible landscape configuration. It would have required two intersecting faults, one down each of the major river segments. A major earthquake would force up that final ridge that forces the rivers down each side. Note that the larger the map, the easier it is to justify the river configuration (that is, 100 feet between the rivers is highly unlikely, while 10 miles is no problem at all).