Can cluster headache cause trigeminal neuralgia?

Definitely, no. Cluster headaches are sometimes mistaken for trigeminal neuralgia because they have similar symptoms. However, there are a number of big differences between the two conditions. TN is episodic (paroxysmal) neuropathic disorder. Cluster headache is the most painful of all the primary headache disorders.
Headaches. Cluster headache is separate from trigeminal neuralgia. It is possible to have both conditions at the same time but that would be very unusual and quite unfortunate since they are so painful. I recommend the American Headache Society website for more information about these types of headaches. I think the information may be very useful.