A native of San Diego, California,[3][4] Svajda took up tennis at the age of 2, initially coached by Matt Hanlin.

[9] He earned his first ATP World Tour ranking point at the age of 15, defeating top-seeded João Lucas Reis da Silva of Brazil 6–3, 6–4 at the 2018 Claremont Club Pro Classic as a local main-draw wild card.

[11] There, despite succumbing to full-body cramps in a five-set first round loss to Paolo Lorenzi, he drew attention as a future prospect in American professional tennis for his solid ground strokes and adept net play.

[12] After defeating Ben Shelton 6–1, 6–4, 6–1 to defend his Boys 18s National Championship title, Svajda was given another wildcard into the US Open.

81 Marco Cecchinato to progress to the second round[14] before bowing out against 13th seed Jannik Sinner in four tight sets.

He also entered the main draw at the 2024 Mubadala Citi DC Open in Washington as a lucky loser but lost to wildcard J. J. Wolf.