When showing the "API keys" tab check if user has permissions to generate an API key.

• Create HTTP endpoint that returns if user can manage own API keys. See how it is done here.
  • Add the new route to x-pack/plugins/security/server/routes/api_keys.
• Cache the result retrieved from that endpoint.
• Use the result retrieved from that endpoint to provide the hasPermission option in <ConnectionDetails> component, it will automatically render the "API keys" appropriately.