It is up to the education provider if they will accept you as a student or not.
I am not sure how it works with TAFE, but the State Schools have two different streams for international students: people on student visas and people on other temporary visas.
I take it that you originally held a tourist visa or a WHV. You bridging visa would have removed the study limitation period, so go and talk to them and see if they will enrol you under the temporary visa stream. If there is a TAFE Education Agent in your area, get them to organise the enrolment. There is no cost in that.
I am not sure how it works with TAFE, but the State Schools have two different streams for international students: people on student visas and people on other temporary visas.
I take it that you originally held a tourist visa or a WHV. You bridging visa would have removed the study limitation period, so go and talk to them and see if they will enrol you under the temporary visa stream. If there is a TAFE Education Agent in your area, get them to organise the enrolment. There is no cost in that.