The simple answer to your question is yes. In New York, it doesn't matter whose name is on the deed.
You will make a claim to the property as part of the divorce proceeding. There will be documentation of how the property was purchased. If it was purchased during the marriage with marital funds, you will be successful in your claim. Good luck.
The issue is not whose name is on the deed, but whether the property was acquired during the marriage, and the source of the funds that were used to acquire the property.
The answer to both questions will be decisive in determining whether the property is 'marital property' for purposes of equitable distribution, which is the principle behind the division of property in a divorce proceeding.
Under most circumstances, you would have an equitable share in the house. Whether that share is 50% or not will depend upon information not in your question.
You should consult with a divorce lawyer to discuss your case in detail.
Sign up to receive a 10-part series of useful information and legal advice about the divorce process.