Yes. The HST, GST, and QST systems are VAT (Value Added Tax) systems. That means that if you are registered and collect any type of sales tax, you can claim back that tax type if you have any expenses where you had to pay that specific type of tax. This tax claimed back is called an “input tax credit.”
With regards to PST, a mechanism exists that allows PST registrants to be exempt from PST on items purchased for resale under certain conditions, but no input tax credits on purchases are granted contrary to the HST, GST, and QST systems.