The answer to your question is yes, it's possible, but not trival and not for the faint hearted. When you do this ASE must be shutdown prior to starting the copy.
There are risks here because you'll be doing unsupported stuff and hacking the system tables.
You don't mention whether the devices are file system or raw partitions. This affects how difficult the process is likely to be.
It's probably worth trying to work why BS doesn't start becuase that is probably easier to fix than attempt a copy of Sybase devices from one server to another, particularly if they are raw partitions.