Yes, women can tie Rakhi to Lord Ganesha for the wellness of their family and successful professional life.
According to mythological legends, Lord Ganesha also celebrated Raksha Bandhan with his sister, Mansa Devi, where she tied a sacred thread on his wrist for his protection. So, women started to tie their first Rakhi to Lord Ganesha to seek protection for their brothers from Him.
Moreover, the Bada Ganpati temple in Ujjain where one of the biggest statues of God is placed, women from across the world send Rakhi there first and then perform the Rakhi tying ceremony with their brothers. The Ganpati in Ujjain is affectionately referred to as “Bhaiya” by the devotees.