Can you take naproxen and ibuprofen together?

No. Neither metaphors nor nsaids should be mixed. Mixing results in double the toxicity but no significant benefit (if full doses of one are used alone).
No. I wouldn't suggest taking both Naproxen and Ibuprofen together at the same time. The are both in the same class of medications, nsaids. I would suggest taking one or the other for a few days to determine which one is more effective for you. You could alternate doses during the day, but i doubt it would add anything significantly to your results.