Absolutely! It's a great idea to ask guests to review your property. It shows that you care about their feedback and improving your business.
You can use the resources in the Management Centre to remind guests to write reviews. Log in and click the “Reviews” tab in the menu, then select "Review Express" to email recent visitors to request a review on TripAdvisor. You must be a registered owner to access your property's Management Centre page. To register, go to tripadvisor.co.uk/Owners and follow the instructions.
Just keep in mind that you can't offer guests any incentives for writing reviews. Take a look at this guide for more details. We also recommend that guests submit their reviews once they've return home, from their own PC or mobile devices.