Yes, you can add a manual workflow trigger on the connection request that will open a workflow form.
Workflow will not be Automatically Persisted.
Workflow Attributes will look something like this:

This example has one Activities "Start"
Actions: Set Person (Attribute Set from Entity)
Set Connection (Attribute Set from Entity)

Persist Workflow (Workflow Persist) Immediately
Get the Attribute (Lava Run). This allows the attribute to pre-fill on the form is their is already a value on the person's profile.

Activity for the Form

Activity to Update the Person's attribute (Person Attribute Set)

Redirect (Redirect to Page)

Activity to Complete Workflow