There is no scientific proof to support the idea that it is more efficient to consume hydrolyzed collagen at one time of day versus another, or in two servings versus one.
The consensus is that there is a direct correlation between the quantity of hydrolyzed collagen consumed and positive impact (not timing or consumption method) (1).
There is no evidence either that consuming collagen peptides on an empty stomach leads to better absorption or efficiency.
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References:
Paul, C., Leser, S., & Oesser, S. (2019). Significant Amounts of Functional Collagen Peptides Can Be Incorporated in the Diet While Maintaining Indispensable Amino Acid Balance. Nutrients, 11(5), 1079.