As a private citizen, unfortunately the answer is no: you don't have any recourse under the CAN-SPAM Act itself. You must rely on the Federal Trade Commission (the "FTC"), your state attorney general, or your internet service provider to police compliance with the CAN-SPAM Act for you. See CAN-SPAM Act of 2003: Role of the Federal Trade Commission; CAN-SPAM Act of 2003: Enforcement by States; CAN-SPAM Act of 2003: Private Right of Action for "Internet Access Service" Providers.
However, it is possible that you may be able to bring a lawsuit under state law, as long as that law isn't preempted by the CAN-SPAM Act. See CAN-SPAM Act of 2003: Preemption.
Beyond taking legal action, you may be able to take technical steps to deal with troublesome spam emails. The FTC's Spam Microsite provides helpful information to consumers about steps they can take to deal with spam. Your state's attorney general may also have a website dedicated to helping consumers deal with spam. See, e.g., the Washington State Attorney General site for spam-related consumer issues.