I had one done that really

The typically want to wait until you are at least 7 weeks. I got mine done yesterday because they thought I was further along but I was only at 5 weeks 4 days. More than likely you’ll be scheduled to have your first one between 7-10 weeks

They did my first appointment over the phone and then scheduled my ultrasound for my second appointment.

Most likely not... depends on your doctor/who you see that day.