Coffee and a morning gummy are a common pairing, so it is a fair question.
None of the eight named ingredients is caffeine, and the page does not address combining it with coffee. We cannot say there is no interaction, since the amounts are unpublished and some botanicals can make people feel restless.
Caffeine also affects sleep, mood and energy, which are the very things you would be watching.
Keep your coffee habit unchanged while you evaluate, so you are not mixing two variables. If you feel jittery, palpitations or sleeplessness, cut back on caffeine and note the change. If you have a heart rhythm condition or high blood pressure, ask your doctor before adding any herbal product.