As the question says,

Is it possible to do interVLAN routing on a router on a stick configuration on a Cisco ISR C891F with tagged interfaces?

Let's I have 2 VLAN.

interface vlan 1
  ip address 192.168.0.1
interface vlan 2
  ip address 192.168.1.1

And also I have one interface tagged for each VLAN.

interface GigabitEthernet 1
  switchport access vlan 1
interface GigabitEthernet 2
  switchport access vlan 2

Is it possible to make both VLAN communicate for devices connected through those interfaces?

This router doesn't supports private-vlan and finally remember that there is not a switch, only this router.

Thank you!