You can try it, but there are multiple ways you may be "found out"...
When you request your high school transcripts for your new community college, there may be a notation on them that they were also provided to your previous community college.
If you received financial aid at your first school, the FAFSA clearing house will know that and may indicate so to your second school.
I understand your hesitation and shame, but you really have nothing to fear. Community colleges are experts at assisting students with less-than-stellar backgrounds. I flunked out of my first year of a four-year university, and I had a full-ride scholarship. I transferred to a second four-year year university and was placed on academic probation, and lost my scholarship. (Note: I didn't blame it on my situation or on others.) Several years later, I told the truth about everything and graduated from a community college in another state. Nobody cared about my background; they cared only about how I was performing AT THE TIME. Then I earned a bachelors degree from a four-year school, and ultimately a masters degree.
If I were you, I'd be honest. Nothing weighs on a person more than a guilty conscience based on lies.
Lastly, you will have to pay out-of-state tuition rates if you move to another state, unless you live/work there for a year BEFORE you attend school. They will look at you last tax return, your car registration, lease, rent/utility receipts, driver's license, voting registration, etc. to determine whether you have lived there for an entire year.