Lewis & Short gives this entry:
immōbĭlis (inm-), e, adj. in-mobilis, immovable. Lit. In gen. (class.): terra immobilis manens, Cic. Rep. 6, 18: elephas tardum et paene immobile animal, Curt. 8, 14: balaenae ad flexum, Plin. 9, 6, 5, § 13: rigor, Quint. 9, 4, 101: immobilior scopulis, Ov. M. 13, 801.— In partic.: res, immovable property, real estate, Dig. 2, 8, 15; 41, 3, 23; opp. res mobiles, Ulp. Fragm. 19, 6, 8.—
Trop., immovable, unmoved, unalterable (mostly post-Aug.): ardet inexcita Ausonia atque immobilis ante, Verg. A. 7, 623: donec princeps immobilem se precibus et invidiae juxta ostendit, Tac. A. 16, 10: adversum plausum ac lasciviam insultantis vulgi immobiles, id. H. 4, 2: isti apathiae sectatores, qui videri se esse tranquillos et intrepidos et immobiles volunt, Gell. 19, 12, 10: statua pro rostris cum hac inscriptione: PIETATIS IMMOBILIS ERGA PRINCIPEM, Suet. Vit. 3: omnia, quae mensurā continentur, certa et immobilia congruere sibi debent, Front. Aquaed. 34.
So, to answer your question, immovable or unmoved, well, yes! (As Lady Bracknell would put it "both if necessary, I presume!")
_________________ Gratia non tollat naturam, sed perficiat. Summa Theol. Ia 1, 8 ad 2.
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