No. Brady is not the GOAT.
This is obviously a debatable topic.
My choice is Bart Starr. Five NFL championships, three before the Super Bowl era. Highest playoff winning percentage.
And my favorite: he called his own plays.
Brady won 5 Super Bowls so it's at least a tie in terms of number of championships. And he has lots of other stats above Bart Starr, even if in one of them he is behind, the one you quoted.
Regular season (career)
Most games won by a quarterback: 207[387]
Best touchdown to interception ratio in a season: 28:2[388]
Most wins on the road by a quarterback: 88[389]
Only quarterback to have three consecutive games with 300+ passing yards, 3+ Touchdown-passes and 0 interceptions[390]
Oldest QB to lead the league in passing yards: 40 [391]
Most yards in a single season for a quarterback aged 40 and older (age 40): 4,577[391]
Most touchdown passes with one team: 517[392]
Most career passing yards with one team: 70,514[393]
Postseason (career)
Most games played: 37[394][395]
Most games started: 37[396]
Most games won by a starting quarterback: 27[396]
Most consecutive wins by a starting quarterback: 10 (2001, 2003–2005)
Most consecutive wins to start a career by a starting quarterback: 10 (2001, 2003–2005)
Most career home wins by a starting quarterback: 17 (2001–2017)
Most consecutive home wins by a starting quarterback: 8 (2001–2007), tied with Jim Kelly
Most touchdown passes: 71[397]
Most passing yards: 10,226[398]
Most passing yards in a single playoff game: 505 (Super Bowl LII)[399]
Most passes completed: 920[400]
Most passes attempted: 1,464[400]
Most passes intercepted: 31[401]
Most division titles won by a starting quarterback: 15[396]
Most NFL conference championship appearances by a starting quarterback: 12[402]
Most NFL conference championship wins by a starting quarterback: 8[403]
Most career 300+ passing yard games: 13[400]
Most game-winning drives: 11[94]
Most multi-TD passes: 22[403]
Super Bowl (career)
Most touchdown passes: 18[404]
Most passing yards: 2,576[399]
Most passes completed: 235[399]
Most passes attempted: 357[399]
Most wins as starting QB: 5[94]
Most passes completed in first half of a single Super Bowl: 20 (XLIX)[405]
Most passes completed in a single Super Bowl: 43 (LI)[94]
Most passes attempted in a single Super Bowl: 62 (LI)[94]
Most passing yards in a single Super Bowl: 505 (LII)[399]
Most Super Bowl appearances: 8[406]
Most passing attempts without an interception in a single Super Bowl: 48 (XLII & LII)[407]
Most consecutive completions in a single Super Bowl: 16 (XLVI)[407]