Can pleurisy cause an svt?

Not directly: Infection is a pro thrombotic state(clot causing), so a sever illness can lead to an set or dvt. The pleurisy itself (inflammation of the lining of the lung) is a part of the inflammatory cascade that can lead there, but doesn't directly cause svts.

Indirectly: Inflammation on some parts of the lung that would cause pleurisy could irritate the heart and trigger an SVT. Usually, someone would be predisposed to the SVT for this to happen, and even in this case the connection between the two would be weak. Sometimes the chest pain can come from the SVT and be attributed to pleurisy instead. Sometimes the same underlying cause leads to both. See doc.