Yes — Claritin (loratadine) and Tylenol (acetaminophen) work in completely different ways and have no known interaction, so they're commonly taken together; still follow the dosing on each label and check with your pharmacist.
Loratadine is a non-drowsy antihistamine that works by blocking histamine, the substance that drives allergy symptoms, while acetaminophen is a separate pain reliever and fever reducer — they act through different mechanisms and are not expected to interact. The NHS states plainly that "you can take loratadine together with painkillers such as paracetamol or ibuprofen." Neither drug is in the other's class, so combining them for, say, allergy symptoms plus a headache is a routine pairing.
The main real-world risk is accidentally doubling up on acetaminophen: many combination cold and flu products already contain acetaminophen, so read every label and don't exceed the acetaminophen daily limit, since too much can harm the liver (the NHS limit for 500 mg tablets is no more than 8 in 24 hours). Note that a "-D" version such as Claritin-D adds a decongestant (pseudoephedrine), not acetaminophen, but it has its own cautions for blood pressure and heart conditions. Take loratadine as directed (usually 10 mg once daily) and don't exceed it. Tell your doctor or pharmacist about all medicines, supplements, and herbal products you take, and mention any kidney or liver disease, which can affect how these drugs are handled. Use extra caution and ask a clinician if you have liver problems, drink alcohol heavily, are pregnant or breastfeeding, are treating a child, or take other medicines such as warfarin; seek prompt medical advice if symptoms persist or you notice signs of an overdose.
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.