No, no way is provided to configure Live Scripts to change directories (or ask to change directories) when invoked while the current directory is not the place the Live Script is stored.
When you execute a Live Script from the command prompt or the editor window, the first thing it does is create a new temporary file containing only the MATLAB code, omitting any controls, text, images and so on that you annotated the code with. It then executes the temporary file.
Because of this, it is normal for Live Script files to not really be executed from where they are stored... and Mathworks did not think to put in such a test themselves.
You will therefore have to use the kind of code tricks that you pointed out through that link.
