Simulating a V-C circuit in ltspice
Your simulation is meaningless: You're taking a ideal voltage source, which can supply an infinite amount of current if necessary, and connecting it to an ideal capacitor, which has no internal resistance, only capacitance.

So, in your simulation, the voltage source immediately charges the capacitor to full voltage (that happens in a single simulation time step), and then has zero current.

Whatever that simulation says hence has nothing to do with reality!

Notice how the unit is 0.01 fA on the y-axis? yeah, that's probably a numerical error somewhere.