Don't talk to me that way.that way 可不可以换成like that.也就是Don't talk to me like that.

Don't talk to me that way.that way 可不可以换成like that.也就是Don't talk to me like that.
Don't talk to me that way.that way 可不可以换成like that.
也就是Don't talk to me like that.

Don't talk to me that way.that way 可不可以换成like that.也就是Don't talk to me like that.
可以 that way 做状语 省略了in 因此相当于一个介词短语
like that也是一样做状语 like也是介词
两者意思一样 都是“（以）...方式”
既然都是状语 意思又一致 当然可以换

可以，大体上一个意思。
that way 字面上是说以那样的方式
like that 字面上是 像那样
理解起来没太大差别

好像that way更口语化一点

yes.

可以。
Don't talk to me that way. 别用那种方式跟我说话。
Don't talk to me like that.别像那样跟我说话。

可以

ok

OK

这要看语境，一般来说可以的，只要语感顺畅