Only way to do that is to use CB Code Field then use its Code Radio Buttons fieldtype. Now you can specify using PHP what the radio options are. This allows you to use PHP to conditionally output what buttons are available. If this depends on another field you can have your code radio buttons field update itself when that other field changes using CB Core Fields Ajax and its Update On behavior. Below is a simple example.
Text Field
Name: cb_mytext
Code Radio Buttons
Name: cb_mybuttons
Parameters > Code > Code (PHP):
Code:
if ( '[cb_mytext]' === 'Test' ) {
return [ 'opt1' => 'Option 1', 'opt2' => 'Option 2' ];
}
return [ 'opt1' => 'Option 1', 'opt2' => 'Option 2', 'opt3' => 'Option 3' ];
Integrations > CB Core Fields Ajax
Update On: cb_mytext
In this example if cb_mytext has the value of Test then options 1 and 2 will display otherwise options 1, 2, and 3 will display. It should dynamically update during profile edit and registration as cb_mytext is edited.