Physicist here: nope. The coupling between the Higgs field and other particle fields is what creates the phenomona of mass. The Higgs particle is just an excitation of that field.
Virtual particles aren't "real" in the same way that the first order Taylor series of sin(x) being x doesn't max x a real sinusoidal wave. All it does is let you make your calculations "close enough" for your accepted definition of "close enough."