Yes, but you will need a formula that users a Usertoken and App token to bypass permissions that normally require a user to login. Build it as a formula URL field to make the API_EditRecord. Include the usertoken= and apptoken=.
If there are multiple "choices" to select; then you will need a set of formula-fields; or if you know how you can create a rich-text formula that strings together separate buttons in a single field for the same purpose.
I recommend a robot-user for the Usertoken; you do not want a button to break because your Usertoken belongs to a User who has been denied from your account if they leave your business.
