Hi friends, It is a possible. You can follow these steps for improve your website alexa ranking. http://www.doshdosh.com/20-quick-ways-to-increase-your-alexa-rank/
Alexa rank always take some time and alexa rank increase by visitors. so get more visitors on your site and increase your alexa rank.
Do Article submission and directory submission on high pr sites having pr 5 so by that you can improve pr for your website.
I think too many people put undo emphasis on their Alexa ranking. While it is mildly important to those that are web savvy, it really means nothing the the search engines or overall SEO.
Not very different way to rank in different search engine try to focus your keyword and local search.
Maybe it would help if you could tell us your reasons for increasing your alexa rank as many of us know how inaccurate the stat actually is. It would be far better looking at the opportunity cost of building backlinks and editing content rather then wasting time with alexa rank.
You have to make effort for increasing traffic on your site.It should be done by following seo steps properly.
Alexa rank depends on the no of visitors coming to your website. So just increase the visitors by SMO, SEO & other online marketing techniques to get maximum visitors & your Alexa rank will we increased.
try to submit article as you can submit but remember one thing that article should be more then 4 pr at least and do forum posting in regular interval also you will get rank with in month or so..
Alexa ranking system is base on the number of your visitors. So you can conquer that via Social Bookmarking Services .
For increasing Alexa Rank You will need to do a lot of backlinks building since Alexa is all about traffic and links
Alexa is all about traffic to the site. Work on setting up links with more high profile, high traffic and relevent sites.
you can increase your alexa rankings by enabling reload option in firefox or chrome browser with corresponding add ons or extensions respectively