No, TeraCopy does not has this feature, it has been designed having no restrictions in terms of the speed. It will always try to copy files with maximum speed and efficiency. . However, this speed is greatly influenced by the disc activity present in the moment when you copy a large number of files.
On the other hand, this option is available in Gs Richcopy 360 which I used recently, it has an efficient built-in option to set the speed to whatever you want when you need to transfer to local drives, servers, or clouds.
Good luck