No way!!!
They need different temperatures, and bettas are agressive, they would rip a goldfishes fins apart. I have seen people keeping them together and some have been succesful, so the chances of it working out ok arent high.

Bettas cannot live in a cup! They need at least 1 gallon of water.

btw, goldfish need at least 10-20 gallons each, so your tank is too small.