lperreault21 :
Specs
Core 2 duo I dont know type
6gb DDR2 SDRAM
360gb 5400rpm HDD
GT 630 2gb
PSU 300w OEM
Dell case
The needs for a server change depending on the amount of people playing on it.
https://minecraft.gamepedia.com/Server/Requirements/Dedicated
I don't see why not, but the huge thing you need to look at is your internet upload. Some cable and DSL providers provide as low as 768k for the upload. If you have fiber, this should theoretically not be a issue.