Yes, it is possible for someone to have symptoms or characteristics of both anorexia and bulimia, and this is often referred to as "anorexia with bulimic tendencies" or "anorexia binge-purge subtype." In some cases, individuals may experience a combination of behaviors associated with both disorders.
It's important to remember that eating disorders are complex mental health conditions, and individuals can exhibit a wide range of behaviors and symptoms. Anorexia nervosa is characterized by severe calorie restriction and a fear of gaining weight, while bulimia nervosa involves episodes of binge-eating followed by behaviors to compensate for the overeating, such as vomiting, using laxatives, or excessive exercising.
Your description of cycling between periods of not eating for days (restriction) and binge eating followed by laxative abuse or fasting (purging behavior) suggests that you may be experiencing features of both anorexia and bulimia. However, only a qualified healthcare professional can provide an accurate diagnosis based on a comprehensive assessment of your symptoms, medical history, and other relevant factors.
If you haven't already done so, I strongly encourage you to reach out to a healthcare professional, such as a psychiatrist, psychologist, or a specialized eating disorder therapist, to discuss your concerns and get a proper evaluation. Eating disorders can have serious physical and psychological consequences, so it's essential to seek professional help as soon as possible.
Remember that seeking help is a sign of strength, and with appropriate treatment and support, recovery from eating disorders is possible.