Is it the custom in the Philippines to send each other New Year's greeting cards?
この場合、次のような言い方ができますよ。
ーIs it the custom in the Philippines to send each other New Year's greeting cards?
「年賀状を送り合うのはフィリピンの文化ですか?」
to send each other New Year's greeting cards で「年賀状を互いに送り合う」
ご参考まで!