No that's not correct. A wire is a short circuit and wires carry current!
If it helps, in real life nothing is a short circuit, it's all a small R. Consider all the inductors to be 1 mili-ohm and you'd see they have voltage and therefor current as well.
If you're new at this the symbols for C's and L's tell you the DC state. Caps, which are drawn with a gap are literally 'open' to DC current and provide no path. Inductors, drawn as a wire, are shorts just like wires.
EDIT: The simulator may be adding in series resistance without telling you. In general, there is no answer for the circuit you posted. It's either a trick question or a mistake.