No we don't have Connection Emulator for Android or iOS. I don't think it's even possible without root since all apps run in a sandbox.
However if you are looking into testing a mobile app with latency and poor networking conditions, it's usually done with the Windows version set up like this:
<Internet> - <PC with Windows and Connection Emulator> - <WiFi Access Point> - <Mobile Device>
This way all mobile device traffic is routed through the PC which simulates poor network connectivity.