You can plug the NTP server into a port in the same vlan as the other machines. But you still wouldn't need a static route.
When you configure NTP you configure the clients with the IP address/DNS name of the NTP server. If that IP address is on the same subnet the clients will be able to contact the NTP server. You don't need to add anything to the switch.
If you connected the NTP server into a port in a different vlan you would then configure L3 vlan interfaces for both the client vlan and the server vlan and set the default-gateway of the clients to be the L3 vlan interface of the client vlan, and the server default-gateway would be set to the L3 vlan interface of the server vlan.
We are pleased to announce availability of Beta software for 16.6.3. 16.6.3 will be the second rebuild on the 16.6 release train targeted towards Catalyst 9500/9400/9300/3850/3650 switching platforms. We are looking for early feedback from custome...