Yes you can get a mortgage. Having a high credit score and cash on hand is great. Contact one of the mortgage bankers here on Staten Island and ask for a pre-approval. The mortgage person will be able to work the numbers for you. Some key questions they will ask are how much do you owe on your credit cards and other recurring long term loans. So get all your papers together and contact a mortgage broker right away.
Contact me, Robert at VIP Real Estate, 718-967-2600 x312, and I will recommend some excellent folks for you.