With conventional rockets/space travel? No. The rocket equation pretty much states that if you want to go faster you'll need to accelerate longer, thus adding more weight for fuel, thus taking longer to accelerate, thus needing more fuel and so on. So basically we would need a vehicle that doesn't have fuel provided onboard for the actual acceleration. Think a giant railgun like what's in Mass Effect. A vehicle would need to be going quite fast, then go through some sort of railgun where it would be propelled extremely fast, without needing onboard fuel to do soDivergeUnifyAs others have noted, the rocket equation isn't the most fundamental limiting factor, but rather relativistic effects such as mass gain, time dilation and the ever-popular Lorentz contraction.
Faster than light travel
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