Yes, dropout layers will also be affected by the random seed, as they are sampling from the PRNG:
x = torch.randn(1, 10)

torch.manual_seed(2809)
d11 = F.dropout(x, p=0.5, training=True)
d12 = F.dropout(x, p=0.5, training=True)

torch.manual_seed(2809)
d21 = F.dropout(x, p=0.5, training=True)
d22 = F.dropout(x, p=0.5, training=True)

print((d11==d21).all())
print((d12==d22).all())