Yes — Tylenol (acetaminophen) and aspirin work differently, and the NHS says aspirin can be taken with paracetamol (acetaminophen), but stick to the dosing on each label and check with your pharmacist.
Aspirin is an NSAID, while Tylenol's active ingredient, acetaminophen, is not — they relieve pain through different mechanisms, so they aren't generally expected to interact dangerously when each is used as directed. The NHS states plainly that "it's safe to take aspirin as a painkiller with paracetamol [acetaminophen]." This is different from combining two NSAIDs (aspirin plus ibuprofen or naproxen), which the NHS says you should not do without talking to a doctor, because the additive effect raises the risk of stomach problems and bleeding. "Generally OK" is not the same as "risk-free": aspirin itself still carries stomach-bleeding risk, so this applies to occasional, label-directed use in healthy adults.
Respect the limits on each product separately: per MedlinePlus, adults should not exceed 4,000 mg (4 g) of acetaminophen per day (no more than 2 g/day if you have liver disease), and aspirin/NSAIDs are generally meant for short-term use (no longer than about 10 days) because they can cause stomach upset, ulcers, or bleeding. The biggest real-world trap is accidental acetaminophen overdose from "hidden" acetaminophen in combination cold, flu, and pain products (sometimes labeled APAP or AC) — read every label, take no more than one product containing acetaminophen at a time, and don't double up, since too much can cause serious liver damage. Do not give aspirin to anyone under 19 (Reye syndrome risk). Talk to a pharmacist or doctor first if you take blood thinners or have heart disease, high blood pressure, kidney disease, liver disease, or a history of GI bleeding or ulcers, and seek care for warning signs like black/tarry stools, vomiting blood, stomach pain, or yellowing of the skin or eyes.
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.