no, the website won't help on the order it shows.., but you can monitor it..
To better position your house is a serie of factors and not always we can control...
You already have a good number of quality pictures, but you also can request (if available in your area) a proffesional Airbnb photographer to take the pictures, a "Verified Photo" will help.
https://www.airbnb.com/info/photography
As you will get more reviews your house will be better place.
Also you can ask for friends and family to submit a "Reference" about you... It will make a bettr profile and better positioning on the search.
https://www.airbnb.com/help/article/173/how-do-references-work
Some hosts like to screen and choose the guest they take at their houses... If you don't mind the guest you will host you can turn on "Instant Book". This also helps on the placement..
https://www.airbnb.com/help/article/187/what-is-instant-book
Luis