You can run CorelDRAW and other windows application on a Mac using software such as wine (http://wiki.winehq.org/MacOSX) or parallels (http://www.parallels.com/products/desktop/). Other options include using bootcamp to dual boot your mac with windows or installing virtualbox or vmware fusion so you could have a virtual windows environment.
Alternative softwares that are mac native are tools like illustrator or inkscape.