The information I have is both dated and unofficial - but since no one else has answered this question, I will share what I know.
In the summer of 2001, I was studying in Israel for the summer. My friend and I spent a few days at the beautiful five star resort, the Taba Hilton in Taba, Egypt - just 1km or so from the border with Eilat, Israel.
Using my U.S. passport, I had no trouble entering Egypt. I also met Israeli citizens in the Taba hotel, as well as British citizens and (obviously) Egyptians.
I asked a few of the hotel staff if they ever get a chance to visit Eilat (again, it's only about 1km away!)
They said that the Israeli border patrol was suspicious of Egyptian citizens who wanted to cross the land border, and that it was too much of a hassle for them just to see the neighboring city of Eilat, Israel.
So I think the answer is technically yes - Egyptians CAN get a visa to Israel - but some advance planning and a detailed explanation as to the reason of the visit will be needed.
Citizens of the following countries will be issued tourist visas free of charge at every port or entrance terminal to Israel (including when entering from Egypt to Israel):
Europe -- Austria, Italy, Iceland, Ireland, Belgium, Britain, Gibraltar, Germany (people born after 1.1.1928), Denmark, Holland, Hungary, Greece, Luxembourg, Lichtenstein, Monaco, Malta, Norway, Slovenia, San Marino, Spain, Portugal, Finland, France, Cyprus, Sweden, Switzerland, Bulgaria, Croatia, Estonia, Czech Republic, Hungary, Latvia, Poland, Romania, Slovakia.
Asia and Oceania -- Australia, the Fiji Islands, South Korea, Hong Kong, the Philippines, Japan, New Zealand, Micronesia, Singapore, Mongolia, Vanuatu.
Africa -- Lesotho, Mauritius, Malawi, South Africa, Swaziland, the Central African Republic.
America -- Uruguay, the Bahamas, El Salvador, Ecuador, Argentina, the United States, Bolivia, Barbados, Brazil, Guatemala, Jamaica, Haiti, the Dominican Republic, Trinidad and Tobago, Mexico, Surinam, Nevis and Saint Kitts, Panama, Paraguay, Chile, Colombia, Costa Rica, Canada, St. Lucia.
Yes. Israel and Egypt has peace agreement.
No. Israel and Egypt are two neighboring countries.
It would take about an hour and a half to fly from Egypt to Jerusalem, Israel. There is approximately 456 miles between the two locations.
Israel, Egypt, and the USa were the countries associated with the Accords.
Egypt and Israel are not good allies as such, may be technically because Egypt is well aware that Israel is there to stay, but they do recognize each other after the signing of the Israel-Egypt Peace Treaty in 1979.
Egypt and Syria launched a surprise invasion of Israel.
The Sinai Peninsula is owned by Egypt, as it was officially returned to Egypt by Israel in 1982 as part of the Egypt-Israel Peace Treaty.
israel
Israel invaded Egypt along with Britain and France.
Egypt formally recongnized Israel
It was a war that started with a surprise attack against Israel from its Arab neighbors including Egypt and Syria. The US intervened to supply arms to Israel and soviet Russia supplied arms to the Arabs.
The country that borders Israel to the west is the Mediterranean Sea.