You certainly can!
To import from Wunderlist, please log in here and request a download. You will then receive an email with a link to download a zip file. Inside this folder you will find a JSON file titled ‘Tasks’ – please send it to firstname.lastname@example.org from your Any.do account’s email address and ask to import your data.
Please do not forward us the email from Wunderlist as it required log-in. Make sure to forward the JSON ‘Tasks’ file only.
Be advised that you must have an active account in order to import. If you do not have an Any.do account, simply go here and create one 🙂