First of all, sorry about your wrist, hope you get better soon. 
It would be very difficult to make ice cream manually with a broken wrist, as the process requires a lot of stirring or zip-lock bag shaking. Without the ability to use any appliance, I would suggest asking either a friend, a family member or another person to help you.
That being said, here's a recipe that does not require you to use your wrist, but still requires a blender/food processor to substitute an ice cream maker. 

Ingredients:
* 2 cups whole milk
* 1 cup heavy cream
* 3/4 cup granulated sugar
* 1/4 cup sweetened condensed milk
* Cilantro juice, to taste

Directions:
1. Mix all ingredients, pour into a Ziplock bag, squeeze out all air, and seal. 
2. Freeze contents of bag lying flat until solid.
3. Remove content from freezer, and break into chunks small enough to fit into the bowl of your food processor or a high-powered blender. (You can try using breaking the bag content with your elbow.)
4. Pulse until completely smooth, then pour into an airtight container. 
5. Cover and freeze until ready to serve.
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