Yes, you can Purchase an Active Adsense account and make money online with it. This is very possible. There are important things you need to check out when buying an adsense account. First, it is very important to make sure that the adsense you buy, you will buy it together with the approved domain. You need to buy everything that is active, the domain and the adsense account. If you buy an adsense account that has no active domain, it will be of no use to you since you will have to go through the same long adsense approval process to get a domain approved.
Adsense is a bigtime network and it can make you good money with the traffic coming to your website. You can consider buying an active google adsense account as an Investment. It is like a real estate that you buy for the sake of giving you returns.