Yes. Recently, many industries have switched over to communicate through the internet. Electrical companies are a part of this group and do this for convenience and to save money.
I know for sure that AEP will let you pay your electric bill online because I use that right now. Ohio power would be another one that would let you also.
Depending on the electricity company, there may not be an online website for your electric bill. You can contact your local electricity provider and ask about their online billing services.
A company does not offer the lowest electricity bills, you as the consumer are the one who uses the electricity that makes up the electricity bill, so it is based on how much YOU use.
Finding companies that offer online electric bill pay will solely depend where you live. In Texas, companies such as TXU, Reliant, and live energy all prove online bill pay options.