Answer: Yes, you can.
You need to have a registered agent address in order to incorporate in the state of Delaware not the physical address. The registered agent is a person or a company receives mail from the government agencies and forward to the owner of the business as a representative.
You cannot establish a Corporation in Delaware to avoid paying home state taxes
You can establish a company in Delaware for any reason other than by-passing your resident state to avoid paying taxes, because it is not going to work. You still have to obtain a certificate of authority from your home state to conduct business in the resident state, and you will maintain two states to operate a business.
A lot of people make this mistake and misinterpreted the law and register other than the home state to dodge the taxing authorities.