Conclusion
Termite will hardly bite a person. They feed on wood and live in dark environments. If you have been bitten it is more likely a different insect. You might not know what insect it is, which is why it is important to closely observe the bite and treat it if needed.
References
[1] https://www.medicalnewstoday.com/articles/220302
[2] https://www.nhs.uk/conditions/bedbugs/
[3] https://medlineplus.gov/fever.html
[4] https://www.webmd.com/drugs/2/drug-362/acetaminophen-oral/details
[5] https://www.webmd.com/allergies/antihistamines-for-allergies