Yes, you can create another SIDM application with another ticket type, but ensure that you donot configured the same applications under ManagedResource mapping else it will cause issue to resolve the SDIM application for which the IdentityRequest / provisioning plans needs to be submitted.
In short you can have as below:
ServiceNow SDIM1 ==> Creates Service Request tickets for applications A, B, C
ServiceNow SDIM2 ==> Creates Incident tickets for applications P,Q,R
ServiceNow SDIM3 ==> Creates Change Request tickets for applications X,Y,Z.
As, I have shared the IdenitiyIQ 8.2 DOC link Sign In to Compass - Compass, you can see on that how to configure different (select) ticket type for an ServiceNow SDIM.
In the iiqHome/WEB-INF/config/connector/IdentityIQforServiceNowServiceDesk.xml , you need to update the “ticketType” entry key as directed:
<entry key="templateApplication" value="ServiceNow Service Desk"/>
<!-- 'ticketType' can be serviceRequest or incident or changeRequest -->
<entry key="ticketType" value="serviceRequest" />