Can a sugar solution conduct electric current?
Yes but no more than distilled water.
Sugar is a nonconductor.
When it dissolves into water it dissolves as a covalent molecule.
As a covalent molecule it does not conduct electricity in the way that ionic compounds like salt would.
Distilled water contains only
This is an exceedingly small amount of ionization.
The water conducts so little current that it is often called a nonconductor.
If tap water is used to make the sugar solution, the ions in the tap water will increase the conductivity about 500-fold.
It is the water in the sugar solution that has the ability to conduct electricity, not the sugar.