No, it is not. The phase velocity can be greater, but not the group velocity (in a vacuum) . You might get some good insights into the reasons why it is impossible from this discussion:
https://physics.stackexchange.com/questions/62522/de-broglie-wavelength-frequency-and-velocity-interpretation
As has been said the phase velocity may "look" greater than the speed of light but the associated group velocity cannot be. Generally the geometric mean of these two values equals the speed of light
The de Broglie wavelength is based on the quantum energy associated with the photon or other particle. If the particle is travelling close to the speed of light then the relativistic energy must be used. Both rest mass and momentum are taken into account when calculating this energy hence a higher frequency is calculated from E= h f. Thus the frequency associated with the particle will be higher than the non relativistic value, and its associated wavelength correspondingly shorter to give velocity=Freq x wavelength.
The phase velocity of light is also greater than the speed of light, in many realistic situations (allowing for refractive index). For instance, in free space the only situation when the phase velocity is equal to the speed of light is in an infinite plane wave, or an infinite distance from a source - look at the phase of the Bessel function, which describes the wave from a point source. The increase in wavelength comes about because the photons are constricted in width. The maths is similar (the same?) as for the de Broglie wavelength.
At the focus of a fundamental mode Gaussian beam the phase velocity increases significantly so that there is a half-wavelength less through the focus. This is true at the focus of other beams but the maths description (and the graph of phase bvs distance) is not so clear.
The group velocity is equal to or less than the speed of light, as John and Leo have said.
The answer will depend on your definition of "de Broglie wave velocity". As for the velocity of light, there can be at least half a dozen relevant definitions (See Sommerfeld & Brillouin, 1913).
Some of them can yield velocities > c. For instance, you can define a "summit velocity" ; then, if for some reason the localisation of the maximum of the wave varies, this summit velocity can be arbitrarily high, and even discrete.
I'll note that the constraints imposed to light velocity in the frame of the theory of relativity mostly concerns the velocities a/ of energy transport and b/ of information transport. In active media, all other velocities, including group and signal velocities, can become > c, as has been often observed exprimentally
(see for instance : Article Superluminous three-wave solitary Brillouin structures
or Article Observation of dissipative superluminous solitons in a Brill...
).I wouldn't be too affirmative here, but since it is not obvious whether de Broglie wave, that Louis de Broglie himself considered non-measurable, may or not transport either information or energy, it seems plausible that one might build an alternative wave mechanics where de Broglie's wave might become superluminal without violating any fundamental principle, such as causality.
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