No it doesn't. Low income earners are eligible for a HST refundable credit. Since HST is a consumption tax, it is the wealthy who buy more and pay more.
In any event, the HST replaced the PST + GST where the PST was not a flow thru for many, many businesses or products, thereby making that tax an unnecessary or inefficient part of the cost when it was layered thru the production or sales chain.
What I hate though about the HST is the Refundable Input Tax Credit (RITCs) which is a partial payback to Ontario until 2018, but a pain in the ass from an administrative POV.