Hi Anonymous,
Yes, this is definitely possible with a referral (without referral anyway it's more difficult.. so definitely make use of the referral if you can!).
Since your tax experience is your first real job after graduation for a short period of time, it does not really matter. At least not in a negative way, at the same time not really an asset either, unless you can find some good connecting points on what you learned and how this will help you specifically in your consulting role!
Hope this helps - if so, please be so kind and give it a thumbs-up with the green upvote button below!
Robert