Raducanu, 21, makes her return to the All England Club after missing last year’s tournament through injury – putting her among 19 British players in the singles draws.
She comes into the grass-court Grand Slam in encouraging form, having reached the Nottingham semi-finals and Eastbourne quarter-finals.
In Eastbourne, she beat American world number five Jessica Pegula for her first win over a top-10 opponent.
Boulter, who won the Nottingham title, could play fellow Briton Harriet Dart in the second round.
Dart starts against Chinese qualifier Bai Zhuoxuan.
British qualifier Sonay Kartal has been rewarded with an opening match against Romanian 29th seed Sorana Cirstea.
Heather Watson – who reached the fourth round in 2022 – starts against Belgian player Greet Minnen.
Francesca Jones and Lily Miyazaki, also both given wildcards, play Croatia’s Petra Martic and Germany’s Tamara Korpatsch respectively.
Norrie, who reached the semi-finals in 2022, must beat Argentina’s Facundo Diaz Acosta in order to set up a potential Draper clash.
British men’s number three Dan Evans’ participation was put in doubt by an injury suffered at Queen’s, but featured in the draw and has been pitted against Chilean 24th seed Alejandro Tabilo.
Wildcard Jacob Fearnley could face Djokovic in the second round – if he beats Spanish qualifier Alejandro Moro Canas.
Charles Broom, another British wildcard, starts his Wimbledon debut against three-time major champion Stan Wawrinka.