Yes, with reservations.
Four weeks ago, I would say I had professional-level skill in C and C++, and amateur-level skill in Java. My boss asked me to write some software in JavaScript, with which I had zero experience, and off I went.
Over the next two weeks, I read many sample code snippets, found all the cool libraries, and wrote my program. It's done, and it works. Then last week I bought a JavaScript book, and I've been reading it, and boy, I did not know what I was doing. Now I understand why my objects were acting so strangely.
So now I say, I know a little JS. I can read it and work with it, but I'm sure what I'm writing is inefficient, hard to read, and does not follow best practices.
In general, a fast learner can take a week and start producing low-quality product in a new language. If you know Java, you can pretty quickly pick up C, C++, PHP, Python, JavaScript, but only well enough to modify code or write well defined functions. (Perl may be harder because regex's are complex.) In order to properly architect a system in a new language, you would probably want a year of developing professionally under experienced mentors.