Hi,
Sure!
Usually themes or theme builders have “tab” or similar builder elements. You could create two search bars and configure them so that the first one shows only the “for rent” and the other one shows the “for buy” items. Then add these search shortcodes to the tab feature of your theme or theme builder.
Depending on how the rent/buy items are marked, you can use results exclusions or inclusions to only allow resulst for the real estate types.