Are passwords that are manually typed in really unrecoverable from memory or disk?

As part of an increase in the security measures for our company, we're moving to making sure all password logins (databases, servers, etc), are done through a password prompt and never using stored passwords. The hope here is that if a company laptop were to go missing, we wouldn't need to change all our passwords.

Is this really enough to assume we wouldn't need to change passwords? Is it not possible to recover passwords from memory or disk when they are typed in interactively?