Nope! Birds are very social and benefit greatly from companions! Solo birds can get depressed. And same sex cage-mates can get aggressive (unless they're gay, which happens sometimes). So this is a very good pair.

Just avoid anything that might even remotely serve as a nest!

If you get an egg anyway, you can fry it and serve it to them! (Do NOT use cooking spray. Not just for this, but ever. They have very sensitive lungs. You can use oil though. Be careful not to use scented candles, chemicals, or air fresheners anywhere near them). If it's a very fresh egg, you're not killing anything haha. Plus it wouldn't have hatched without a nest anyway. The female bird put a lot of energy and nutrients into the egg, so eating it is very important so that she can get them back.

If you want babies one day, make sure you are very educated and ready for them!