No, that sentence is absolutely incorrect. Grammatically, you should follow the pattern to have been [past participle]. If the action took place before some reference point in the past, use the past perfect tense: I had been given some work to do. If the action took place in the past but with a connection to the present moment, use the present perfect tense: I have been given some work to do. There's no ifs or buts. That's how English grammar works.

However, if you start watching a lot of American movies, one day you will hear someone say I done it! or something to that effect. That's actually incorrect and the only time you'll ever hear this said is from a country person or a street tough using nonstandard English grammar.

No, that sentence is absolutely incorrect. Grammatically, you should follow the pattern to have been [past participle]. If the action took place before some reference point in the past, use the past perfect tense: I had been given some work to do. If the action took place in the past but with a connection to the present moment, use the present perfect tense: I have been given some work to do. There's no ifs or buts. That's how English grammar works.

However, if you start watching a lot of American movies, one day you will hear someone say I done it! or something to that effect. That's actually incorrect and the only time you'll ever hear this said is from a country person or a street tough using nonstandard English grammar.

If you insist on using a past form of the to be verb, use was:

I was given some work to do.