I'd say no. I looked up the ingredients of A1 and they're: Tomato puree (water, tomato paste), distilled vinegar, corn syrup, salt, raisin paste, crushed orange puree, spices and herbs, dried garlic and onion, caramel color, potassium sorbate, xanthan gum.
So, basically, you want something with a bit of a tang. I might substitute Worcestershire sauce which, while not exactly the same, would provide the tang.