How can I raise the current flow in my 32 Volt LED Solar Panel?
Any semiconductor diode can be used as a photocell.  However, most of them are very inefficient unless designed specifically for that purpose.  White LEDs are particularly bad since they produce white light by re-emission of blue or near UV by phosphors.  Those phosphors absorb some of the light hitting the LED from outside.

In any case, LEDs don't make good photocells.  The total power they can provide will be quite small.

Your basic problem is that you seem to be confusing open circuit voltage with power.  Any diode produces about its band gap voltage in reverse when you shine the right light on it and it is left open circuit.  However, as you saw, if it can't produce much power then the voltage will rapidly collapse when you try to draw any meaningful current from it.

You can harvest the little power from these LEDs with a well-designed circuit.  The first thing to do is to put a capacitor across the LEDs.  That will slowly get charged up, asymptotically approaching the open circuit voltage.  At that point you have a fixed amount of energy available, regardless of how little the LEDs can provide over time.  What happens then depends on how you want to use the energy.

Keep in mind that just sensing the cap voltage and powering the circuit to do so has to take less current than the LEDs require, else the circuit will be a net negative.  This can get tricky.