Below are the rules in case of refund.

Your question matches wit Point NO. 5

1. If a candidate opts to WITHDRAW the seat allotted in NITs/IIITs/GFTIs in JoSAA rounds during Institute reporting (19th - 23rd July, 2019) and does not participate in Special Rounds counseling, his/her Seat Acceptance Fee will be refunded after deducting Rs 1,500/-.

2. If no seat is allotted to the candidate in the Special Rounds, his/her Participation Fee will be refunded after deducting processing fee of Rs 1,500/-.

3. If no seat is allotted to the candidate in the Special Round-I and the candidate withdraws from CSAB Special round-II, his/her Participation Fee will be refunded after deducting processing fee of Rs 1,500/-.

4. If a candidate gets a seat allotted in Special Round-I and does not report, his/her Participation Fee and Seat Acceptance Fee (if paid) will be refunded after deducting Rs 5,000/- .

5. If a candidate gets a seat allotted in Special Round-I and opts for “SURRENDER and  PARTICIPATING in NEXT ROUND”, and does not get seat in Special Round-II, his/her Participation Fee and Seat Acceptance Fee (if paid) will be refunded after deducting Rs 5,000/-.

6. If a candidate gets a seat allotted in Special Round-I and opts for “SURRENDER and NOT PARTICIPATING in NEXT ROUND”, his/her Participation Fee and Seat Acceptance Fee (if paid) will be refunded after deducting Rs 5,000/-.

7. If a candidate who has been allotted a seat in Special Round-I and his/her seat gets cancelled due to ineligibility Or in-appropriate documents noticed during document verification, his/her Participation Fee and Seat Acceptance Fee (if paid) will be refunded after deducting Rs 5,000/-.

8. If a seat is allotted prior to the Special Round-II (i.e. seat allotted in JoSAA/Special Round-I) and the same is retained for participating in the Special Round-II OR a seat is allotted afresh in Special Round-II, the Participation Fee and Seat Acceptance Fee (if paid) will not be refunded whether such a candidate joins the Allotted Institute or not. Fee paid by such candidates will be transferred to the Allotted Institute.

9. If a candidate who has been allotted a seat in Special Round-II and his/her seat cancelled due to ineligibility or in-appropriate documents, his/her participation fee and Seat Acceptance Fee (if paid) will not be refunded.

Hello,
No, fees will not be refunded to your bank account.
It was clearly mentioned in the counselling notification that you need to withdraw admission before the last round of JoSSA counselling results are declared to be eligible for fees refund.
Follow this link for more
https://www.google.com/amp/s/engineering.careers360.com/articles/csab-special-round-for-nits-iiits-and-gftis/amp
Good luck