Yes you can, but I might not.
To manage who gets to edit their own pod, you can use the Auto Set Current User package on a Pick field in your pod set to relate to the WP_users database. Using this code, you can make sure that only a user that owns a piece of data can edit it. You do need to be careful with this plugin that administrators don’t take over the pod when they edit it.
You could very easily create a "Manage my data" screen with a listing of all that user’s columns followed by View, Edit and Delete links. The delete link would use a Pod API call.
Rather than allow a stranger delete access to your database, you might just want to add a checkbox field like "Mark for Deletion" on the Edit screen. Once a user checks this you wouldn’t display this data anymore to the general public, and an Admin (or a cron job) would then delete it.