No, goldfish would not typically eat live crickets. Although goldfish are omnivorous and may consume insects in the wild, crickets are not a standard part of their diet and are often too large for a goldfish to swallow comfortably. Crickets can also carry parasites that might harm the fish.
Stick to foods formulated for goldfish, such as flakes, pellets, and occasional vegetables or live foods sized appropriately for their mouths.