You can certainly try. But whether you will be successful or not is a different question.
Under the rules governing the conduct of attorneys in New York it may be necessary to remind you that this answer could be considered attorney advertising.
Not really sure what is going on. A divorce is started by filing a summons and complaint. A stipulation ("stip") is an agreement to resolve some or all the issues in the divorce. Sometimes, if the parties are being friendly and reasonable, we will draft and get signed the stipulation settling all the issues and file that with the summons and complaint, as well as all the final divorce papers. I can't tell, but it sounds like you have an uncontested divorce and your attorney wishes to be paid in full before he will complete the filings.
You need to pay your attorney for the work that was done.
The above is a general answer and is not considered legal advice. You should contact an attorney before proceeding to take any legal action, signing any papers or upon service of a summons.
Unfortunately it appears that there is a problem between you and your attorney regarding legal fees. You should do your best to resolve it with a payment plan or possible lump sum fee to cover any money owed and/or remaining work to be done. It seems you are pretty close to being finished and should do whatever you can to work it out.
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