Yes, you can do it with most of the web hosts. Either parking or stacking will bring up your main sites web page unless you place in Java redirection code to have the domain answer a directory on your server. Please go to the utilities section of the website to request your stack.
The first stack or park at my web host is 25 dollars then all others are 15 thereafter unless your obtaining free ones through any current specials your host may be having then of course the fee is waived.
Please note that using java redirection is for the use of making a domain name answer an FTP directory (called Virtual Domaining)
You may also use the very professional way of doing this using htaccess.
Both methods have code generators which you may use and are supplied in the various webmaster resource centers on the web.