Is there a test to see if your head pressure is due to sinus problems?

Yes: The most sensitive and accurate diagnosis can be achieved by a physician - simply by asking you questions, and by thoroughly examining you. If an ear, nose, & throat doctor (otolaryngologist) still has questions after that, imaging studies (x-rays or ct scans) can help them sort things out.

Yes: A good exam by a doctor and possibly an imaging study like a ct scan.