No, tasks in Swipes are private and can not be shared in a collaborative way where both sides make changes to the list and complete tasks together.
However, a list of tasks from your Swipes can be sent as an email or a message to another person. If you would like to do that, you have to press on the task. It will open with more details and on the top menu, you will see a ‘sharing button’ - a folder icon with an upward arrow. Press on the button and choose which option you want for sharing the list - share it by email, message, or add it to note-taking and communication apps.