Yes, but as stated by
@stirredo, best thing would be to book an appointment to have peace of mind.
When you raise a request for callback, put Canada no. (use textnow or fongo app). Tell them you want an appointment for new SIN at above mentioned office. The agent will let you know the earliest possible date. Even I was told by agent that appointments are generally open for next 30 days. So assume July appointments would not be open now.
If the appointments are full, ask agent to call you back once those for July open. They do call back
(experienced myself)