Yes, this can be done. By "open loop", I take it to mean that you do not want to utilize feeback devices like encoders or tachometers. With a standard variable frequency/
variable voltage drive you could expect open loop speed accuracy of about 5-7%, with an open loop vector drive you could get down to 1% or so if everything is matched. That should be plenty for your application. I am using ballpark figures here and a general case. If you need specific info the manufacturer specifications will provide that or someone in this group may if you provide more specific information.