佢 read "jì" from Hakka? Looking through the book 四川德阳方言语音演化与接触研究, I came across the following chart excerpt:

表1-6 四川境内非西南官话方言岛与湖广方言特征词对比


In some locales 他 is documented as being read: 佢, tɕi⁵¹ -or- jì, if you prefer.
Places of influence are limited to either:

老湖广话

or

或客家话方言岛

Xiang, Cantonese or Hakka.
Hakka seems to be the most likely, but the readings are all closer to:

gi

rather than ji.
Are there Hakka topolects that read 佢 as [tɕi]? Or perhaps Cantonese topolects? Xiang is not very likely I'm guessing.
Yes there are Hakka varieties that have palatalised 佢 and other former velars in front of front vowels, specifically in various Hakka varieties of Jiangxi and Hunan (寧龍片, 于信片/雩桂片 and 銅鼓片/銅桂片).
Without context, it is rather difficult to determine the tone category of the phonetic &quot;51&quot;. But I shall assume it is a 陽平 tone.
A list of pronunciations for 渠 in a greater range of Hakka varieties can be found at zdic.net (where it also specifies that it is equivalent to Modern Standard Mandarin 他 for some varieties). I could not however find /tɕi51/ on the list, although there are several /tɕi24/ (陰平 tone, characteristic of 銅桂片).