Yes, but only using the Listing Style Format.
You can find instructions on how to switch to the listing style format for your multi-property website here: https://promotemyplace.zendesk.com/hc/en-us/articles/216229463-How-to-switch-from-multi-property-Standard-Format-to-Listing-Style-Format
Once you’ve done this, go to Widgets and check the box next to the Property Search Widget.
Then go to Widget Settings in the left-hand menu and specify the Destinations that your guests can choose from.
After this, go to Edit Website Content > Properties and click edit next to each property you wish to update.
Choose the relevant Destination from the drop-down box provided on each property page and remember to click save.
Preview your website and test the Property Search Widget which appears in the header area of your website.