Yes. Every director of the private company during the period for which. tax, interest or penalty due in respect of any supply of goods or services or both, is not recovered shall jointly and severally be liable for the payment of such tax, interest or penalty, unless he proves that the non-recovery cannot be attributed to any gross neglect, misfeasance or breach of duty on his part in relation to the affairs of the Company.
(ICAI FAQ PUBLICATIONS 06-09-2017 Liability of directors of private company : FAQ NO. 9)