Answer
The farmer is not able to move the pig.
Work Step by Step
In order to move the pig, the farmer must be able to overcome the maximum force of static friction. We can find the maximum force of static friction.
$F_f = mg~\mu_s$
$F_f = (120~kg)(9.80~m/s^2)(0.80)$
$F_f = 941~N$
Since the farmer's maximum force of 800 N is less than the maximum force of static friction, the farmer is not able to move the pig.