Absolutely.
This phenomenon of love and devotion is not limited to humans either. Animals, especially dogs, elephants, certain bird species, may die of a broken heart when a loved one leaves.
I had a pair of lovely, rare, small parrots. A week after one of the birds died, the other followed. It's heartbreaking to see. No pun intended.
Even the Bible warns us: Pro 4:23 NIV - 23 Above all else, guard your heart, for everything you do flows from it.