Can I plug in two computers at once and the hard drive still function? (in this case my headless server and my macbook)

When I'm away I would like to have the lacie plugged into a headless computer i have remote access too through SSH and other means. When I come home for max speeds can I plug in my macbook at the same time as my headless comp and have no issues? Or will the drive seize to function properly with two devices requesting information?

LaCie 3TB d2 Thunderbolt 2/USB 3.0 Hard Drive

LaCie 3TB d2 Thunderbolt 2/USB 3.0 Hard Drive

Product No Longer Available

No Answers have been submitted