Character 赱

Yes; it is the same character in a different written form.

A Chinese character-variant dictionary describes 赱 as a popular form of 走, shaped when cursive handwriting was regularized. The written shape changed, but the word's core meaning did not. It is attested in popular Chinese writing from Song–Yuan onward, including vernacular novels and dramas.

The standard form 走 has earlier forms in oracle-bone inscriptions (writing carved on animal bones and shells) and seal script (an early formal writing style).

What does 赱 mean?

It usually carries 走’s basic movement sense.

In Mandarin Chinese, 走 (zǒu) is pronounced roughly “dzoh” with a dipping tone and means go, walk, run, or leave; 赱 represents the same word.

Japanese references list 赱 as an uncommon kanji (a Chinese-origin character used in Japanese), with readings written in kana, the Japanese sound script: そう (sō), ス (su), and はしる (hashiru). The last is the Japanese verb “to run”; these are Japanese readings, not extra meanings unique to 赱.

In classical Chinese, 走 can also carry context-bound senses such as “leave” and, in certain set phrases, “servant.” Those are older senses of 走, not special meanings of 赱.