Yes! If you would like a quote to be automatically attached to a job type template, you can do this through the Web Portal.
Go to Jobs > Job Type Templates > select the edit arrow for the job template > Line Items tab > select Quote in the Default Type dropdown > select the line item code for the quote > Save.
When you create a job with this job type template, it will now have a quote attached to it (which you can still edit before sending it to the client).