Can you play Minecraft pc?

Yes, more than enough.

It will play as HD 5500 with a slight improvement by the dual core i7.
It is not a cheap budget laptop for playing Minecraft.
You can get higher performance in gaming at a lower price. The Pavillons are not HP Premium.
Touchscreen on a clamshell design laptop is generally a waste of money, and 12GB is no better than 8GB.
I see $500 on a "recertified" which in volume for Walmart means there were a large number of failure systems repaired. They say "remarketed". The reviews show flaws in the system such as "out of focus screen", Touchscreen not working, Static in the speakers. Stopped working after 10 days. Cracked shell. The warranty is not listed. It seems to be taking a chance at what you get.
This Acer has different flaws, but the gaming is much stronger and is not a refurb
http://www.newegg.com/...6834315302
Both are made in China by sub-contractors.
https://www.cpubenchmark.net/...u_list.php
i5-6200U 3904
i7-5500U 4019
The 3% CPU performance difference is not important
The i5 on battery runs the stronger HD 520 over the HD 5500, so the acer on battery is stronger gaming than the HP plugged into AC power. On AC Power, the GT 940M blows away the HD 5500

And a $390 Acer in the lower resolution
http://www.bestbuy.com/...Id=4961000
outperforms the hp in gaming

I think at minimum you should look more.
That laptop is not especially impressive at new condition, and refurbs are risky.