There isn’t an API function to do this, no. However, this should work:
var meshInstances = this.entity.model.meshInstances;
if (meshInstances.length > 0) {
var bbox = new pc.BoundingBox();
bbox.copy(meshInstances[0].aabb);
for (var i = 1; i < meshInstances.length; i++) {
bbox.add(meshInstances[i].aabb);
}
}
The docs for pc.BoundingBox are here.