Answer
Yes, it is possible that it is gold.
Work Step by Step
Density of gold = $19.32{g}/{cm^{3}}$
$D=\frac{m}{v}=\frac{371g}{19.3 cm^{3}}=19.22 \frac{g}{cm^{3}}$
$19.22\approx 19.32$
Since the densities are very close, it is possible that the nugget is gold.
