If interviews have taken place and the staffing/selection committee have decided upon 'Joe Blogg's' and this is to be voted on by the full council then potentially yes this can happen, it's not illegal and there's nothing to say it can't happen. However if for whatever reason the full council voted against appointment for whatever reason then it may cause embarrassment to 'Joe Blogg's' if there have already been named.
Best practice would be to have an agenda item to say "Appointment of Clerk" etc and once at that agenda item the Chairman or appropriate person can inform the full council. It can then be minuted that 'Joe Blogg's' was appointed successfully to the position. However, if the full council voted against 'Joe Blogg's' it may be considered more appropriate to the minute in a way such as 'Appointment of Clerk' unfulfilled.