Unfortunately, I do not know of any way to do this besides moving it in each of the (10) pipes.

Could you share the way to do it one-by-one ?

Wait. Are you saying you want to move a field from one pipe to another pipe? 

No, I want to move a field from one phase to another phase on same pipe. My big deal that I have at least 10 pipes and I don`t want to do it manually.

So, I do not see where you can even move a field from one phase to another. It seems like what you want would be the ability to basically copy/paste fields across phases and pipes.

Using GraphQL, you can:

• fetch fields & values: https://api-docs.pipefy.com/reference/queries/#pipe
• create fields: https://api-docs.pipefy.com/reference/mutations/createPhaseField/
• delete fields: https://api-docs.pipefy.com/reference/mutations/deletePhaseField/
• update field values: https://api-docs.pipefy.com/reference/mutations/updateFieldsValues/

To summarise: yes, you can do this with GraphQL, but more than one step is required.