You can easily create your own radio button components in react native very easily. First you need to create an array of options for your radio buttons and pass it to your radio button component like so:
after this in your radio button component you can map all these options in your render method and create radio button views
this will create default radio buttons which looks like this -

Right now it is time to set the state when clicked on the radio button. First we declare our state state = { value: null }, then inside our <TouchableOpacity> tag we define our checked button when clicked on any particular button.
So right now when clicked it looks like this -

finally the styles -
Here is the snack link