Yes — naproxen (an NSAID) and Tylenol (acetaminophen) work in different ways and are commonly taken together for short-term pain, but stick to the dosing limits on each label and check with your pharmacist first.
They belong to different drug classes and are not generally expected to interact dangerously with each other. Naproxen (Aleve) is a non-steroidal anti-inflammatory drug (NSAID) that works by reducing the body's inflammation- and pain-causing chemicals (prostaglandins); acetaminophen (Tylenol) is not an NSAID and relieves pain and fever through a different pathway, so you are not "doubling up" on the same medicine. The NHS states it is OK to take naproxen with paracetamol (acetaminophen) — but only for short periods. The critical thing to avoid is combining naproxen with another NSAID such as ibuprofen or aspirin, because that stacks the same class and raises stomach-bleeding and other risks.
Keep it short-term: if you need both for more than a few days, talk to a doctor or pharmacist. Stay within each label's limits — do not take more than 4,000 mg of acetaminophen per day from ALL sources (check cold, flu, and sleep combo products, which often hide acetaminophen, sometimes labeled APAP or AC), since too much acetaminophen can cause serious liver damage; and take the lowest effective dose of naproxen for the shortest time. Do NOT take naproxen alongside ibuprofen, aspirin, or other NSAIDs. Be cautious with naproxen if you have, or have had, a stomach ulcer, GI bleeding, kidney disease, or heart disease (NSAIDs can raise heart-attack and stroke risk), and do not take acetaminophen if you drink three or more alcoholic drinks every day, or ask your doctor first. Watch for warning signs and seek care for black/tarry stools, vomiting blood, severe stomach pain, or yellowing of the skin or eyes. Always confirm with a pharmacist, especially if you are pregnant, take blood thinners, or have other prescriptions.
This is general reference, not medical advice, and not a guarantee of safety. Interactions depend on your doses, health conditions, and other medicines. Always confirm with your pharmacist or doctor before combining products, and follow the dosing on each label.