In short, no.
Syspeace monitors failed logins on MS Exchange, Windows Server, SharePoint, Remote desktop, Citrix and evaluates if it is a brute force attack against the system or not.
However, if an attacker has gained access to passwords and usernames, he or she will use those and be able to log in. From the systems point of view, it is a fully legitimate login thus not awakening Syspeace.
In the nearest days, sysadmins around the world will be upgrading their systems to the secured OpenSSL but for you, as an end user, it is highly recommended to change all your passwords.
Remember to use strong passwords and never use the same password on different sites. Here is a blog post on how to remember complex online passwords.