Actually you could do such thing by wearing two different brands of contact lenses in each eyes at the same time with the same prescription. However you'd better not do this because of the difference in the water content. It may make your eyes have different eye pressure. You may also feel not comfortable if your eyes are sensitive. You should protect the eyes and keep the hygiene when you wear the contact lenses.
No, you are not recommended to do so.
It is really dangerous to wear two different pairs of contact lenses in eyes at the same time, because these contact lenses won't be able to fit in your eyes. They will move in your eyes. This results in corneal scratches and scrapes.