Q.Cluster Golden Barrel cactus
I have a Cluster Golden Barrel cactus. If I remove 2 of the globes by cutting them, will the entire cactus die? This needs to be done to allow brick wall repairs behind the cactus. The plant is too large to move. We estimate it may weigh 300 lbs.

Yes, you can remove the pup. Here is information on how to.
https://www.gardeningknowhow.com/ornamental/cacti-succulents/barrel-cactus/barrel-cactus-care.htm
https://www.gardeningknowhow.com/ornamental/cacti-succulents/scgen/removing-cactus-pups.htm