The only way for almost all people in Gaza to escape the horrors of the war between Israel and Hamas is by leaving through neighboring Egypt.

And that is usually a complicated and expensive ordeal, involving the payment of thousands of dollars to an Egyptian company that can get Palestinians on an approved travel list to cross the border.

Confronting the company’s stiff fees, as well as the widespread hunger in Gaza where there is no end in sight to Israel’s military campaign, many Palestinians have resorted to trying to raise money with desperate appeals on digital platforms like GoFundMe.

Dr. Salim Ghayyda, a pediatrician in northern Scotland, posted one such plea in January after his sister texted from Gaza to say that their father had suffered seizures.

Their father made it to a hospital and survived, but Dr. Ghayyda, 52, who left Gaza in 2003, said the episode convinced him he had to evacuate his family at any cost.

“I thought I’d go to sleep one night and wake up to the news that my family is gone,” he said. “I felt helpless and hopeless, but I knew I had to do something.”