For QB EzPay / QuickBooks Desktop Version - 

Yes. QuickBooks Desktop does with a Magtek Swipe reader.  Please remember that with card present enabled, the Authorize.Net CIM (EzCustomer) and the ARB (EzScheudle) are automatically disabled by AuthNet.


For My EzPay / QuickBooks Online Version - 

No, this is not currently supported at this time.