The short answer is yes, but it's not that great of an idea. In fact, the importance of hiring an attorney simply cannot be stressed enough. The divorce attorney is familiar with the state laws regarding divorce, how they apply to your situation and protects your rights during the process. When you retain a divorce attorney, you are getting valuable knowledge and expertise that prevents you from falling into traps and pitfalls. However, if money is an issue, you can represent yourself while paying a lawyer for limited help.
When your spouse retains a lawyer and you do not, you are a great disadvantage. It's akin to bringing a knife to a gun fight when you're unrepresented. The lawyer knows that you are not as fully aware of your rights in the divorce and can write the agreements that are in your spouse's favor. You wind up with less than what you are entitled to by law, and all because you didn't know. It's always best to work with a divorce attorney so you can protect what is rightfully yours.