Plugins for privately sharing recipes with groups

Hello

So I wan’t to create a WordPress site where users can create and share recipes privately. I know there are som great recipe plugins for WordPress, but they have no internal sharing functionality as far as I know.

So this is the functionality I need:

• Anyone can sign up
• Users can create a group with a name and invite other users by mail to that group (would be awesome if you could invite people that are not even signed up yet. They would obviously have to sign up so start use the service though)
• Users can create a recipe by filling in information in the predetermined fields and add an image
• The user can decide which groups each individual recipe is shared with.
• Users can only view recipes from groups he/she is invited to as well as recipes he/she have created himself/herself.
• Users can comment and favourite recipes

Is this possible to achieve with a combination of plugins, so that I can get a site up and running without custom programming?

Best regards