of coarse you can mine your own BTC. The question is what do you have to invest in order to mine profitably. Mining is difficult and there its a large upfront investment in order for you to be profitable in what you are mining. Do some research before you start.
I have to back these other comments, it does not seem like it would be worth it to mine your own bitcoin. The hardness is up there and you need a bunch of equipment to be able to compete with any of the larger miners. Just my opinion.