Short Answer
Yes. Subtle body is made of five tanmatras and Prakriti's 3 antaHkaraNas(the psychic apparatus).
Long Answer
In Shiva Sutras, Section III, Sutra 2nd, Bhagwan Shiva says,
ज्ञानं बन्ध:
Of the limited knowledge, empirical self, mind-born knowledge is a source of bondage.
Further in commentary section the author adds up verse 17-18 from Spandakarika:
"Being bound up by the Puryastaka that arises from tanmatras and by the modes of mind, the I-making principle and the determinative faculty, the empirical self experiences as a subservient creature pleasure and pain that result from the ideas which origi- nate from the puryaṣṭaka and so he becomes subject to transmigratory existence because of the existence of that puryastaka. I shall, therefore, clearly explain what brings about the dissolution of the transmigratory existence of such an individual." (III, 17-18). The Spandaśästra proposes the means for the annulment of this transmigratory existence.
Here Puryastaka is nothing but synonym for subtle body/sukshma sharira.
Further in notes section of the same verse the author adds up:
Puryastaka: Lit., the city of the group of eight i.e. the five tanmatras-five subtle forms of matter, viz., Sabdatanmatra sound-in-itself, sparsa tanmatra touch-in-itself, rupa-tan-matra form in-itself, rasa-tanmotra-taste-in-itself, gandha-tanmatra smell-in-itself, and three psychic factors, viz., buddhi, manas, and ahamkara. It is a synonym for suksma-sarira or subtle body.