No, "Do you have English" is not correct.
It could however be argued that it's part of Hiberno-English and thus acceptable. Either way, learning to say this isn't advisable.
One expects this structure to be exclusive to Ireland, where it is commonly used (especially in Western regions).
As Ireland transitioned from being Irish-speaking to English-speaking, certain words, phrases etc. were naturally carried over, but also syntax.
The standard way of asking this question in Irish is:
An bhfuil Bearla agat?
The literal translation is:
"Is there English on you?"
However, because there isn't a word in Irish equivalent to "have"*, this same syntax is used and this could equally be translated as:
Do you have English?
This persisted and is still in use today along with many other examples that sound perfectly natural to an Irish person but strange to anyone else.
*Or several other obviously useful things like "Yes", "No", or "Thanks"