You can certainly create a link to the editor page and pass the ID, however, if your IDs are numeric, it will be easy for nefarious users to guess the ID of another item. To mitigate this issue, I tend to use UUIDs for my IDs. It is extremely difficult to guess at the ID of another element.
Also, it is better to wrap the cfloop in a cfoutput, rather than wrapping each td - and you should scope your variable names.
For example:
<cfoutput>
<cfloop query="GetIssues">
<tr>
<td><a href="edit.cfm?id=#GetIssues.id#">#GetIssues.id#</a></td>
<td>#GetIssues.CreatedOn#></td>
<td>#GetIssues.ShortDesc#</td>
<td>#GetIssues.Status#</cfoutput></td>
<td>#GetIssues.Urgency#</cfoutput></td>
<td>#GetIssues.Severity#</td>
</tr>
</cfloop>
</cfoutput>