The Kirchoff Current Law can be stated as: $$ I=\int_{s}\mathbf{i}\cdot \mathbf{ds}=0 $$
While the Mass Conservation can be stated as: $$ Q=\int_{s}\mathbf{q}\cdot \mathbf{ds}=0 $$
In both cases, the integral, which is normally expressed as a simple sum, equals the total flow of current / caudal outside a certain control surface called "node". In this regard, both laws are equivalent under the given variable.
Note that a rotational current/caudal will leads to no flow, hence the vectorial dot flow calculation is required.