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Not only could it be done, but you could in fact get the hardware right now.
Behold, the RB2000 rocket belt:
We can work out the probable $\Delta_v$ of the rocket via the good old rocket equation:
$$\Delta_v = g_0 \cdot I_{sp} \cdot \ln \left( \frac{M}{M_e} \right)$$
Where $g_0$ is a standar...