Brief Answer:
No. Laryngoscopy

Detailed Answer:
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Tonsil stone (Tonsilloliths) are clusters of calcified material that form in the crevices of the tonsils. They are present in tonsils and also are difficult to remove. So its very uncommon for dis lodgement of tonsillolith to other places like epiglottis.
Epiglottis does not contain crevices or any opening of large secretary glands and hence new stones cannot form over there.

There may be other problem like chronic irritation/infection that can cause some lesion in epiglottis. This can be very easily visualized by using indirect laryngoscopy. So to confirm laryngoscopy is very helpful.

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