Yes, Samba means Sa + Amba ie. Attended/ accompanied by Amba or With Amba.
स + अम्बा = साम्ब (ie. With Amba)
स + उमा = सोम (ie. With Uma)
स + उमा + स्कन्ध = सोमस्कन्ध (ie. With Uma and Skandha)
The above all are names of Lord Shiva. Samba is frequently used in scriptures to denote Shiva and Shakti aspect simultaneously. They are used frequently in Linga Purana and Shiva Purana.
Here I give examples of Skandha Purana:
एवमुक्त्वा महादेवः साम्बः संसारमोचक ।
सत्य ज्ञान परानन्दस्तत्रैवान्तरधीयत ।।
Mahadeva who is with Amba( ie. Samba) is the liberator of the world. He is truth, knowledge and infinite bliss. [Skandha Purana Suta Samhita YajnaVaibhava Khanda]
Also in Yajnabhaiva Khanda Sarva Shastra Sangrata, Suta Samhita; Skandha Purana:
सर्वैश्वर्यैण संपन्न: सर्वेश सर्व कारणम् ।
शंभुरेव सदा साम्बो न विष्णुर्न प्रजापति ।। 25।।
Always with all Aishwarya, Lord of All and cause of All. Such is Sambhu who is with Amba (Samba). Neither Vishnu nor Prajapati (Brahma) are like that.
Also in the same place,
शिवंकरत्वं संपूर्णं शिवस्यैव परात्मन: ।
साम्बमूर्तिधरस्यास्य जगतः कारणस्य हि ।। 27।।
Everything is Shiva itself. Shiva is the Supreme Soul itself. He creates the form accompanied by Amba (ie. Samba form) just to be the cause of creation.