Short answer: No — FitsAir does not appear to operate a frequent‑flyer / loyalty program.

What I checked

• FitsAir’s official website (company pages, fare types and site map) contains no membership/loyalty program information or a named frequent‑flyer scheme. (FitsAir.com)
• Airline directory / company listings that summarize FitsAir’s details list “Frequent Flyer Program: N/A.” (airlinesheadoffices.com)
• FitsAir’s Wikipedia entry and recent press material about the carrier do not mention a loyalty program. (en.wikipedia.org)

If you want

• I can contact FitsAir customer service (phone/WhatsApp/email listed on their site) and ask for written confirmation, then report back. (indiacustomercare.com)