Preamble
Yes. The premium payable on the trauma insurance policy sold by a life assurance company constitutes assessable income of the life company. As a trauma insurance policy is an accident and disability policy the decision in National Mutual Life Association of Australia v. FC of T (1959) 102 CLR 29 applies to treat the premiums as assessable income of the company.
The premium payable by the insured for the trauma insurance cover can, in all circumstances, be separately calculated from the premium payable for the life assurance cover.
If it were the case that the premium for the trauma insurance and the premium for the life assurance could not be separately calculated, then the whole of the premium is assessable income of the life company: refer National Mutual case supra.