No, it doesn't work that way. An application to INZ is a legal document, and by submitting it, you are warranting that everything on it is true. If it's something you expect and intend to be true in a week or a month, that doesn't make it true yet.
There are all kinds of situations where honest intentions don't work out - e.g. someone "will have" 10 years' work experience next week, only the boss calls everyone in this afternoon and says he's very sorry but his company is bankrupt and they're all out of work as of now, or someone is near the end of their university course so they "will" be graduating at the end of term, but they get sick or have an accident and can't take their final exams. This is why INZ will not accept any claim in advance of the facts, and applicants have to meet the regulations as set out on the website and on their forms and guides.
INZ COs have been told by the government to give short deadlines for requirements, in the hope that this will speed up processing. However, in practice, COs know that people can't magically produce immediately documents which have to be applied for, or paperwork which has to come through the mail from overseas, so they are normally flexible if you communicate with them before the deadline, and let them know that you have done what you can and will send what they have asked for as soon as possible.