Not according to this:
https://www.canada.ca/en/immigration-refugees-citizenship/services/application/medical-police/medical-exams/requirements-permanent-residents.html
It is explicitly stated to
wait for instructions
after submitting an E-APR.
Even when you contact a designated panel physician they would tell you to provide IME or UCI.
Upfront medical exams are only for students/workers/visitors.
And if a spouse/partner or dependents are being sponsored, you also have to wait for instructions starting from December 15 2016.
Read within your link for this para:
Get your exam before you submit your application
Are you applying to sponsor your spouse, partner or child?
A new application process for the spousal sponsorship program came into effect on December 15, 2016. Spouses, partners or dependent children can no longer do an upfront medical exam. Wait for our instructions before going for your medical exam.
This is called an upfront medical exam. To get an upfront medical exam, contact a
panel physician directly.
Once your medical exam is done, the doctor will give you a document confirming that you got a medical exam.
Include a copy of that document with your application.
If the doctor works with the
eMedical they will give you an upfront medical notification printout.
If the doctor works with a paper system they will give you a copy of the IMM 1017B
Upfront Medical Report form.
Attach that form to your application
before you submit it to the visa office. If you apply online, you must upload that form before you can submit your application.
Only when you sponsor your dependants later on after becoming a PR ( spousal application), upfront medical exam is not allowed.
Otherwise primary and rest all applicants can go for upfront medical exam. I did it the same way for your information.