No. There are two types of particles. Particles that go at light speed and particles that don't.
The particles that don't go at light speed don't do this because they have rest mass. The particles that do go at light speed do so because they have no rest mass. They are massless.
Now what makes massless and massful particles different? This is where the Higgs Boson comes in. There is a field called the Higgs field, which is made by the Higgs Boson.
Particles that interact with the Higgs field are massful. Particles that don't are massless. They thus can go at the speed of light.
For example, photons (that make light) do not interact with the Higgs Field. Hence, they go at light speed. Electrons however do interact with the Higgs field. They thus have rest mass. They thus do not go at light speed.
The Large Hadron Collider verified the existence of the Higgs boson. This is what the "god particle" stories were about in the past decade.
So, if we can somehow manipulate the Higgs field or the Higgs boson, we can make something "massless" and travel at speed of light? Maybe even with zero time dilation since they have no mass to cause a gravitational field to slow down time?