Archie,
Thank you for your business first of all. Good question too. One way you could achieve that would be to use a standard page instead of the contact section. Then you could use columns to create a left hand and a right hand side.
There is a simple plugin called Columns that you can use to layout a page like you’re describing.
If you’d like to have a map spanning the full-width of the page, you can still do that. Just paste it in above the columns. You should end up with a page that looks very similar to the contact section, just with more equal columns where you can place any content you’d like to.
If you have any questions or trouble, let me know.
Enjoy your week,
Bill