I don't know specifically the availablility of Kodachrome in Israel, but, as a general rule, I would take with me whatever film I expect to need when holidaying abroad. I wouldn't rely on being able to purchase much beyond the basic Kodak/Fuji colour negative anywhere nowdays.
I'm in the U.K. myself, and Boots (one of the large UK chain stores, long-established as a "first-stop" for many people for photography and D&P) only stocks Kodachrome in the largest branches. When I bought some a few weeks ago, the few films on the shelf were all very near expiry date.
I'm sure that you can post prepaid films to Lausanne from anywhere, if your return address is in Europe...during a recent holiday, I posted films while away, and the processed slides arrived home safely.
Hope you have a great trip and get fantastic pics!