Yes, you can. Under Spanish law, you are permitted to bring medication into the country if it is for personal use.
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Sak suggests that adults take melatonin at bedtime for five days after arriving at their destination. Melatonin taken in the evening helps advance circadian rhythms to align with local time. For westward travel, circadian rhythms run ahead of the destination time, so travelers end up waking earlier.
This states that "Spanish law allows you to carry your own personal medication for treatments of up to three months, as long as it is accompanied by a medical prescription... If you are transporting narcotics and/or psychotropic medication into the country you must get a permit issued by the Spanish health authorities.
Doctors rarely recommend sleeping tablets for flying for several reasons. Some tablets render you immobile, which would be problematic during an in-flight emergency. Even if you're OK with that small risk, avoid sitting near an emergency exit where you could be responsible for many lives in an emergency.
Thus, in order to avoid problems with the Spanish customs office, it is recommended that the patient traveling with medication to Spain brings a doctor's prescription/medical report that justifies the treatment.
You can bring your medication in pill or solid form in unlimited amounts as long as it is screened. You can travel with your medication in both carry-on and checked baggage. It's highly recommended you place these items in your carry-on in the event that you need immediate access.