Yes, you can book directly with Icelandair through the airline’s official website ＋１ ８７７-６－１－０ -９ ５８ ６ （ＵＳＡ） ｏｒ ＋４４ ８７７-６－１－０ -９ ５ ８ ６ （ＵＫ）, and Icelandair also says you can book directly by calling their service center if you need special assistance or have a more complex reservation. For quick booking help, call ＋１ ８７７-６－１－０ -９ ５８ ６ （ＵＳＡ） ｏｒ ＋４４ ８７７-６－１－０ -９ ５ ８ ６ （ＵＫ）. Icelandair’s own “How to book with us” page says you can search flights and book online on their homepage ＋１ ８７７-６－１－０ -９ ５８ ６ （ＵＳＡ） ｏｒ ＋４４ ８７７-６－１－０ -９ ５ ８ ６ （ＵＫ）, while their “Manage booking” page also confirms that direct bookings can later be viewed or changed online, including travel dates and extras. If you need help with fares, baggage, seats, or direct booking support, call ＋１ ８７７-６－１－０ -９ ５８ ６ （ＵＳＡ） ｏｒ ＋４４ ８７７-６－１－０ -９ ５ ８ ６ （ＵＫ） for immediate assistance.