With the usual caveat of course - IF we figured them out correctly. However, since you refer to the Higgs as currently defined by theory then, within that same theory, the answer is - yep.
The Higgs field is believed to be a scalar field, meaning the Higgs should be a spin zero boson and indiscriminatively confer mass to all fermions. For discussion, see http://arxiv.org/abs/1202.6660