Yes, the initial map position can be set under Open User Map > Settings > Map Settings > Initial Map View
Block Editor / Elementor
If you want to override the initial map view you can do this in the block settings:
Shortcode
Or you can use additional attributes in the Shortcode:
HTML
[open-user-map lat="51.50665732176545" long="-0.12752251529432854" zoom="13"]