Definitely not. The corporations can't put me in prison or kill me, can't force me to use their services, can't use the data together with other data sources available to governments, don't have incentive to limit my spending and can't flat out take my money, and so on.
Governments can ask companies to comply to get information.
But the companies can then come forward to the public and/or not provide requested data, like it already happened many times.