Question about Seagate BarraCuda

No, not as far as I know. With laptop or external hard drives, there are sometimes sensors that measure whether the device is in free fall and deactivate the hard drive to prevent damage, but this would probably be of little help with a desktop. All in all, SSDs are used today everywhere where shocks or other impacts are expected, because they are insensitive to physical impact.

In general, desktop HDDs are cut back wherever possible, so you can usually expect little except acceptable reliability. But in return you get an astronomical number of GB/Fr.

NAS hard disks, on the other hand, are optimised to protect against vibrations from surrounding disks (in a server with hundreds of running disks, this cannot be underestimated), i.e. these are probably the best protected against all kinds of things.

When switched off, ordinary hard disks are not overly sensitive anyway, i.e. when it comes to relocating desktops, you don't have to worry too much now. However, if the devices are transported over longer distances on the road, the hard disks should be removed and placed safely in the passenger's lap.

"Increased shock resistance" is a term that is not compatible with HDD. If anything, SSD is the choice of the hour.
For "normal" relocation of a PC (small, large) or an external unit, an HDD is a problem.
After all, millions of them are sent by post after they have already been cargo on ships and planes...
It is imperative to avoid shocking an HDD during operation. I had a defect when the heroes tested the Grippen a few years ago and it shook my window during the sonic boom. A shelf on which the external HDD was running was leaning against it. Gone.
Either way. You have a BACKUP of ALL data. At all times. There is no excuse.