Naproxen - Can I drink coffee while taking this?

Yes.

Click on the link:

https://www.drugs.com/food-interactions/naproxen.html

What should I avoid while taking naproxen?
Avoid drinking alcohol. It may increase your risk of stomach bleeding.

Avoid taking aspirin while you are taking naproxen.

Ask your doctor before taking any other medication for pain, arthritis, fever, or swelling. Many medicines available over the counter contain aspirin, salicylates, or other medicines similar to naproxen (such as ibuprofen or ketoprofen). Taking certain products together can cause you to get too much of this type of medication.

Ask your doctor before using an antacid, and use only the type your doctor recommends. Some antacids can make it harder for your body to absorb naproxen.

https://www.drugs.com/naproxen.html