The simple answer is maybe but not likely.
Older homes with older appliances and fixtures are less efficient. When you install a renewable energy system for your home, you become your own power company so every kilowatt hour (kwh) of energy you use means more equipment. More equipment means more cost. Appliances that operate at 240 Volts Alternating Current (VAC) are impractical loads to run on solar. Alternatives such as propane or natural gas should be considered for space and water heating and cooking.
Along with designing a passive solar design into new construction, an evaporative cooling system should be considered instead of compressor based AC units. After electrical heating loads refrigeration and lighting is typically the largest user of 120 VAC energy. You should make sure that you get the most energy efficient units available when purchasing refrigeration and lighting. Conservation is the law in renewable energy. For every dollar you spend replacing your inefficient appliances, you will save three dollars in the cost of a renewable energy system to run them.