Can electric circuit simulation software simulate capacitor charging process
Since you measure 12 V the capacitor is already charged, which is as expected because the simulator tries to find the steady-state solution. The 12 pA shown is likely a leakage current, either artificially introduced by the simulator to make the calculations easier, or a tiny parallel resistance in the capacitor model.
To see the charging current you have to modify two things:

Create a transient simulation.
Make sure that the capacitor is discharged at time=0

Both of these are specific to the simulator you are using.