The OOB 'Organization Chart(my_org_chart)' service portal widget allows users to search for and display inactive users.

In the record picker drop-down, if an user search for an inactive user, the result still appears

The record picker of the 'Organization Chart' widget doesn't have the check for active users.

Clone and modify the OOB 'Organization Chart' widget

1) Clone the OOB 'Organization Chart' widget.
2) In the cloned widget, within the Body HTML template, modify the second line as follows:

Current Code:

<sn-record-picker field="c.user" table="'sys_user'" display-field="'name'" value-field="'sys_id'"
display-fields="'email'" search-fields="'name'" page-size="100" >

Change it to:         

<sn-record-picker field="c.user" table="'sys_user'" display-field="'name'" value-field="'sys_id'"

display-fields="'email'" search-fields="'name'" page-size="100" default-query="'active=true'" >