Can i make a minecraft server on a alienware 14 laptop?

Well that work good for a big minecraft server?

Yes. But do not play on the server on the laptop use some other computer it will likely overheat. And make sure if you want to be safe put a fan blowing on the laptop!

For a minecraft server you need a decent amount of ram (around 4gb + ) and a decent cpu but what really matters is your internet connection.
go to speedtest.net

and then go to
http://canihostaminecraftserver.com/

and type in your download and upload speeds along with your RAM