Thanks for the query,
Yes it can be a cyst
also present in same way, but are not so persistant.
Apply some antibiotic cream and see if the lesion heals.
If it still persist , surgical removal may be needed.
Please meet a dermatologist
for final diagnosis and treatment
Let me know if you have any other doubt.
you can ask a direct question to me on this forum, following the below link.
Wishing you a good health.