No, you need to set up a new listing for the new property and deactivate the listing for the property you are no longer renting. Your reviews are host-based and will stay on your personal profile and the new property will look like there are no reviews at first but the listing will say "host has reviews from other properties". You can make note of that in the new listing details to encourage guests to book with you.
If you know you are leaving, you need to block your current property for new bookings after you plan to vacate so you do not take any reservations you will need to cancel. https://www.airbnb.com/help/article/476/how-do-i-snooze-or-deactivate-my-listing