Yes, you can rotate the globe, zoom in and out, and the more you zoom, the more local airports you see.
When you click on an airport, you can either set it directly as starting point (or destination), or you can "zoom to details" which offers the maximum zoom to see the whole airport structure (runways and parkings) to select a starting position more precisely.
If you choose a runway, then your flight will start with engines running.
If you choose a parking spot, then your flight will start cold&dark.
If you click anywhere that is not a starting point (white dots), then your flight will start airborne. That one of the things I dislike in MSFS. I wish I could start anywhere on the ground, but it's not possible unless you select one of the available starting spots for that airport/airfield.