If by “furnace repair” you mean taking out a tool kit, opening the furnace cabinet, or anything even close to either, then the answer is a straight no. Furnace repairs, whether for a gas-powered or electric-powered unit, must be left to licensed professionals.
If the repairs you’re thinking of are more like “troubleshooting” — basic checks to make sure a simple explanation isn’t lurking behind your heating troubles — then there are steps you can take with a malfunctioning furnace. But please know the difference between troubleshooting checks and a DIY repair.