It is possible, but it may not be realistic. The cost for an employer to sponsor an employee is 3-5K.

Most employers are not willing to spend this much on a CNA without dramatically lowering their pay unless they are extremly desprate.

If you can find an employer willing to do this, chances are that it will not be an attractive opportunity.

I suggest raising the money yourself, and approaching prospective employers with the money in hand. You will find that there are more doors open to an opportunity like that.