Well, technically you can learn any programming language cold turkey. However C++ is one of the more difficult ones.

It really depends on what you prefer: Being thrown into cold water gasping for air after which you can swim though and after which not much can shock you? (That would be learning C++ as a first language) Or do you prefer the more gentle way where you will have to learn new core principles when you eventually switch languages?

For the latter approach I would suggest starting with something like Java or C# before taking a look at C++.