The First Department noted that no appeal lies from declining to sign an order to show cause:
No appeal lies from an order declining to sign an order to show cause, since it is an ex parte order that does not decide a motion made on notice (CPLR 5701[a] … ). To the extent defendant seeks review of the ex parte order pursuant to CPLR 5704, such relief is denied. Review under CPLR 5704 would not, in any event, address the merits of the motion defendant sought to make by order to show cause … .
To the extent defendant contends that we should review the order or grant leave to appeal in the interest of justice, we decline to do so. Chi Young Lee v Osorio, 2020 NY Slip Op 03186, First Dept 6-4-20