Since you post the speed as 1000 rpm ... either you've a 60 Hz supply and motor with a lot of slip ..or you are stating the synchronous speed for a 6-pole 50 Hz motor on a 50 Hz supply.
While on the outside, it would seem reasonable that you could operate the 4-pole motor at 1000 rpm with a VFD ... what is NOT considered is the T O R Q U E requirement.
A 50 HP 6-pole motor on 50 Hz power develops about 353 N-m of torque (260 ft-lbs).
A 50 HP 4-pole motor on 50 Hz power develops about 235 N-m of torque (174 ft-lbs)
What has just been defined is the maximum RATED torque that the motor will produce.
In the above example, you would need a 75 HP 4-pole motor to be able to supply the same value of rated torque as the 50 HP 6-pole motor.... and of course, you'd need a 75 HP rated VFD.
So, to answer your question, you can see that if you replace the six-pole motor with a 4-pole motor of the same power rating, you certainly can operate it at 1000 rpm ..but you can't get the torque out of it. The motor would be overloaded if you try...and so would the VFD because it would have to source the overload amps to the motor.
One other clue that gets overlooked: look at the frame size of the two motors in the same power rating... you will find that the 6-pole motor is in a larger frame size than the 4-pole ... and that's because he torque comes out of the iron. The 4-pole in a lesser frame size, is rated for less torque. The six pole in greater frame size, is rated for greater torque.
Hope this helps
jO