No, I would not recommend shortened URLs in your CV.
Whether you're putting URLs to public profiles or to online projects on your CV, it's important to remember that people may or may not click on them at all -- and if it's a paper CV, people are unlikely to type them in -- at least on the first review of your materials.
However, what people may look for (and I know I do), is some indication of what those URLs are -- in this case, the domain name is a rhetorical device (it provides ethos). In other words, on first review of your materials I might not look at your LinkedIn or StackExchange profiles or GitHub repositories (for example), but knowing that you have a LinkedIn profile, you participate in the StackExchange community, and you contribute to or maintain open source repositories means something.
If you only use shortened URLs, I have no idea what is behind those shortened links, and thus the information that could be doing some good is doing no good at all.
Similarly, assume that I care enough to look at the information itself. If it's an online or electronic CV, I'll click the link; if it's a paper CV, I'll take the time to type the links. However, if you use shortened URLs, I have no idea where I'll be sent to. The cost-benefit analysis of typing a LinkedIn or SE URL and knowing where I'm going, versus a shorter link to somewhere unknown, just doesn't work out in the applicant's favor.