今週も来週もすでに予約がいっぱいです
"It is possible to book for the week after next."
"it is possible to ~" 「〜可能です」
"to book" 「予約する」"make a booking" も言えます。
"for the week after next" 「再来週から」"from the week after next" も言えます。
"reservations can be made for the week after next."
"reservations" 「予約」
"reservations can be made" 「予約可能」"bookings can be made" も使えます。