Howdy Dave,
That is pretty possible. It will require a little familiarity with programming to get there, but it’s quite possible.
What most people will do is create a new URL for this default page. Something like example.com/events-near-me/. Then when someone visits this page they take the visitors IP address and geocode it, to get a latitude/longitude where that IP is likely from. Then they forward the user to our Map view with lat/lng filled in. For example here is a URL on our demo site where we have prefilled the coordinates for where you are viewing events, in this case I set them to San Francisco:
http://wpshindig.com/events/map/?tribe-bar-geoloc-lat=37.7749295&tribe-bar-geoloc-lng=-122.41941550000001&tribe-bar-geoloc=San+Francisco%2C+CA
Does that sound like what you needed? I have seen this request a few times before. It’d definitely something one of us can provide assistance with building once you get there.
Cheers!
– Brook