if there is a net torque on a system does that mean there's net force on the system

[justagirl]

if there is a net torque on a system does that mean there must be a net force on the system

[Tide]

if there is a net torque on a system does that mean there must be a net force on the system

No. Imagine a uniform rod with equal and opposite forces acting on it perpendicularly to each end.