Is “Wu Lin followed his elder brother Wu Jie out of Sichuan to rescue the emperor and besieged Jin Wuzhu” true?

According to the 'History of Song: Biographies of Wu Jie and Wu Lin', Wu Lin and his elder brother Wu Jie always guarded the border in Sichuan and Shaanxi, and defeated the Jin army at Heshangyuan. 'When Wuzhu invaded in force, the Wu brothers defended to the death. The enemy formations split and joined over thirty times; Wu Lin responded accordingly, and when the ambush was sprung at Shenben, the Jin troops were utterly defeated, and Wuzhu fled after being hit by a stray arrow.' They never went east to the Jianghuai region. In Chapter 43 of 'The Story of Yue Fei', it is fictionalized that various armies came to rescue the emperor, and a scout reported that 'Wu Jie, the vice envoy of Sichuan, together with his brother Wu Lin, led 30,000 troops' and camped on all sides with Zhang Jun and Liu Qi to besiege Wuzhu, which is a fictional invention of the novel.