You may include your partner into the company and apply EP for him under your company. However, do note that once his EP is approved, he will need to cancel his Student Visa. We will recommend for your partner to finish his studies before applying EP and joining the company.
Before applying EP for him, you may wish to read more information regarding EP eligibility here: https://www.paulhypepage.com/employment-pass-in-singapore/
We would love to have a call to better understand and advise your situation accordingly.
Do feel free to contact us, we look forward to hearing from you.