Whether parties to an appeal could seek adjournment of the hearing

Yes. The Appellate Authority may, grant adjournment of personal hearing if sufficient cause is shown at any stage of hearing of an appeal, grant time, from time to time, to the parties or any of them and adjourn the hearing of the appeal for reasons to be recorded in writing. However, no such adjournment shall be granted more than three times to a party during hearing of the appeal.

(ICAI FAQ PUBLICATIONS 06-09-2017 APPEALS AND REVISIONS: FAQ NO. 10)