You can use Electronic signature fields on Create request form in Jira Service Desk
First of all you need to add a ESF field to the SD project fields config - on Project settings
administration page - Request types section, i.e /servicedesk/admin/SD/request-types/group/1
On the needed request type record press Edit fields link, than press Add a field link and select a Electronic signature field from the drop-down list
The selected field will apear in the Visible fields list
Now you will see the selected field on the Create request form in SD and will be able to sign off a new issue using this ESF field, i.e /servicedesk/customer/portal/1/create/35