The short answer – yes. But, regardless, it may still be a good idea to hire someone else to be your registered agent. Registered agents exist because of due process. When you turn your business into its own, separate legal entity by forming an LLC or incorporating, you’re effectively giving it a right to due process. 
That means, before a lawsuit can go forward, your business must be properly notified. A registered agent, then, is the point of contact for notifying your business about impending lawsuits.
However, many states use a business’s registered agent as a contact point for other important matters. They’ll send state documents, franchise tax forms, and other reminders to the company’s registered agent, rather than to the company itself, since reaching an established point of contact is a pretty reliable way of getting in touch with the business.
For a nominal fee, you can appoint someone to be that point of contact.
So why wouldn’t you want to be your own registered agent? Acting as your own registered agent will save money, but there are downsides to that choice. For one, a registered agent must have a physical address within the state the company was formed in. So if you formed and do business in a state other than your own, you have to designate someone in that state as a registered agent.
Further, registered agents are the contact point for sensitive matters like lawsuits or summons. Having a registered agent outside your company keeps the office from panicking, like they would if you were served in your own office.
And finally, your registered agent is going to get a lot of important paperwork. It’s their job to keep track of what they receive, and send it along to you. When you run a business, it’s easy to overlook or forget about things like annual reports and fees. A registered agent will really help you from losing track of that important paperwork.
You – or in some states, your business – can act as the registered agent. Or you can hire an outside agency. Just be sure, regardless of what path you choose to follow, that your registered agent is dependable and discreet.