Until the agenda for the EGM has been issued, you can add anything to it. After that, it would have to be an amendment to the motions that are on there.
For instance, if the motion on the agenda is to disband the committee (which would actually be an invalid motion unless it is signposted as a special resolution) you could at the meeting propose an amendment to the motion that the meeting elects new members to fill the vacancies created by the resignations of the “oligarchy” as you call them.
As long as the amendment is a variation of the original motion – and not some entirely different thing – then it should stand.
You might also do well to follow the format for strata committee elections as set out in Section 9 of the Regulations, which is to call for nominations, then decide on the number of members you want on the committee, then conduct a poll by providing voting owners with blank sheets of paper on which they should write the names of the nominees they want to vote for.