No. They are not related, besides both being models and actors, they resemble each other a lot.
An excerpt from RollingOUt.com says:
Whenever Tyrese Gibson is told he looks like former supermodel Tyson Beckford, his face folds up and he squints like the comment had a horrible odor to it. Get over it, dude. Happens to all of us at some point in life.
Born in California in 1978, Tyrese Gibson honed his musical skills by competing in talent shows around Los Angeles. He later appeared in a Coke commercial and worked as a model. After appearing in a TV movie, Gibson gained attention with a role in the 2001 film Baby Boy. His breakthrough role came in the 2007 movie Transformers. He also has a recurring role in the "Fast & Furious" franchise.
One of three children, Gibson was raised by his mother, Priscilla Murray Gibson, after his father left the family in 1983. When Gibson was 17, he began modeling for Guess and Tommy Hilfiger and eventually landed a recording contract from RCA Records.
Tyson Beckford was born on December 19, 2023 in The Bronx, New York, USA.
He was raised in Rochester, New York and Jamaica. His exotic looks can be attributed to the fact that his father is half Jamaican and half Chinese and his mother has Panamanian ancestry.