Yes, Form 8962 for the Premium Tax Credit, does take dependent income into consideration, if they are required to file a tax return.
If your student files their own return but is included on your insurance policy, check the box indicating 'I shared this policy with someone who is not on my return' when entering your 1095-A.
TurboTax asks for their SSN and the % of the policy premium you want to allocate to them and then calculates the PTC.
If your student is your dependent and does not file their own return, their income is obviously under the dependent threshhold income amount.
In that case, and if your household income does not exceed 400% FPL, TurboTax may not ask for the amount of dependent income directly.
You can view Form 8962 in TurboTax to check the entries when you View/Print your return.
This income is shown on Line 2b of Form 8962. Click the link for a copy Form 8962.
Click the link for further detail on Page 6 of the IRS Instructions for Line 2b of Form 8962.
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