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Hello. I will be happy to assist you.
To answer your question directly, no, you cannot prevent them from filing suit against you after you've moved. The law gives them a prescribed amount of time to file suit (depending on what they sue for, but probably 1 or 2 years), and so long as they do so within that amount of time, there isn't much you can do about it. Keep in mind, however, that they must serve you with process in order to initiate the suit. This means that they have to know where you've moved, and then incur the expense of a process server to serve you with notice of the suit.
The best thing you can do is document EVERYTHING before you move out. Take pictures or video of the premises before you leave. Get everything in writing from them. Do a walk through with a representative from Greystar, and get them to acknowledge what you owe for and what you don't.
If you do that, you could possibly defeat their case just on the filings...meaning you could win without ever having to personally appear.
Do you have any questions? If not, feel free to ask follow up questions. If so, please remember to "rate" my answer before you go. Good luck.