He studied painting under Yulian Pankevych in Lviv,[2] and subsequently in Kraków, where he graduated from the Krakow Academy of Fine Arts in 1905.

He held an exhibition at the Salon des Indépendants in 1910, featuring his and his students' works on the revival of Byzantine art.

The main projects carried out or coordinated by Boychuk and his school—which included his brother Tymofiy Boychuk, Ivan Padalka, Vasily Sedlyar, Sofiia Nalepinska, Mykola Kasperovych, Oksana Pavlenko, Antonina Ivanova, Mykola Rokytsky, Kateryna Borodina, Oleksandr Myzin, Kyrylo Hvozdyk, Pavlo Ivanchenko, Serhii Kolos, Okhrym Kravchenko, Hryhorii Dovzhenko, Onufrii Biziukov, Mariia Kotliarevska, Ivan Lypkivsky, Vira Bura-Matsapura, Yaroslava Muzyka, Oleksandr Ruban, Olena Sakhnovska, Manuil Shekhtman, Mariia Trubetska, Kostiantyn Yeleva, and Mariia Yunak—are an important contribution to Ukrainian and world art.

[2] Right after the 1917 October Revolution, Boychuk and a group of students after his direction made frescoes for the Kyiv Theater of Opera and Ballet (1919), the Kharkiv Opera Theater (1921), the Ukrainian SSR's pavilion at the First All-Russian Cottage Industry and Agriculture Exhibition in Moscow, and the Kyiv Co-operative Institute (1923).

Later, he switched to the socialist realism style, in which the main works of his group were the Peasant Sanatorium in Odessa (1927–28) and the Kharkiv Chervonozavodskyi Ukrainian Drama Theater (1933–35).