Will I still be able to encrypt an external hard drive if it doesn't come with this option?

Thanks for the answer but are you 100% sure that encrypting hard drive that has already got encryption by WD (like WD My Passport) will cause issues? I’d like to use third-party encrypting software on My Passport, not the included one.

I’ve read this post and the original poster claims that using third-party software destroyed his hard drives:  http://community.wd.com/t5/WD-Portable-Drives/My-Passport-2-TB-USB-3-0-USB-2-0-Hard-Drives-WDBY8L0020BBK-and/td-p/484148