Its impossible to tell without knowing which exact keylogger.
Depending on how the keylogger gets the keys, it can be tricked. For example, if the keylogger works on such a low level that it gets the keys before the operating system, then you can likely hide from it by using a virtual on-screen keyboard or other methods that don't have you touch the actual keyboard.
OTOH, if the keylogger uses a high-level OS API to get the keys, then chances are you won't be able to trick it, since whatever the OS treats as a keystroke will be seen as a keystroke by the keylogger as well.
Some programs let you specify passwords using standard input. So what might work is storing the password in a file (off-system, of course), and then piping the password into the program you want to use via shell pipes. This will almost certainly bypass keyloggers. The downside is that its limited to programs which accept input on the standard input stream, so most GUI programs are out.
Another method that should work everywhere with a clipboard is to store the sensitive info / password in a file, open it in a text editor, copy its contents into the clipboard and paste it where you need it. The keylogger will just see the copy and paste commands (if it doesn't know how to read the clipboard contents, that is). But note tha keeping sensitive info in a system clipboard is hardly secure.