No. The advice is to be aware that some things may *not* work as they previously did (esp things that need "drivers" -- like peripherals).
Everyone always claims that the upgrade is uneventful -- yet I always seem to end up losing *some* capability along the way (but, I tend to run a very wide variety of software and peripherals -- it's implied that it's *my* fault that I lost some capability that I *should*? have lost previously?).
Note that you can choose to run (some) 32b OS's on 64b hardware -- you just lose the benefits of that 64b hardware.
You can also run 32b software on a "guest" OS (under VMware, etc.).
AND, you can also keep your old machine in a closet for a week or two until you decide it's safe to discard it! :>
You may be surprised to discover that your "computer experience" isn;t as remarkably faster, cleaner, more efficient than you would have
*guessed* (hoped) on that newer/faster machine! :< This is called PROGRESS!