Supposing your NOC is what is shown at http://www5.hrsdc.gc.ca/NOC/English/NOC/2006/Occupations.aspx?val=7
as 7414 Delivery and Courier Service Drivers then that is not a skilled job and will severely limit your immigration options.
If you currently meet the requirements to apply under the federal skilled worker category, that is 67 or more points on the self-assessment and at least 1 year continuous employment in a skilled occupation at some point in the past but you are missing one of the ministerial categories such as 1 of 38 occupations, job offer or already in Canada, then you could take the delivery driver job and apply as a skilled worker after 1 year in Canada under federal skilled worker, category 3.
If you do not meet these requirements for skilled worker, you can look into provincial nominee programs. They are different from province to province. Some of them offer immigration for certain low skilled occupations. As posted by job_seeker, AINP has truck drivers on their list and so do BC and SK. The delivery driver job could be a way for you to get to Canada to work towards getting a truck driver job in one of these 3 provinces. If you could get some other job on their low skilled lists, that would work too but your employer would also need to support your immigration for it to work.
If you could get a skilled job, even better because that would open other immigration options for you. For example, even without employer support, you would be able to apply for your PR under Canadian experience class after 2 years of working in a skilled occupation.