Can someone who is on a visiting visa get married in Jordan ?

Hi , I am planning to travel to Amman from USA to get married to a man from Iraq , who also is traveling to Amman to marry me . Both of us are muslum . Is this action aloud in Jordan ? What do we need to do to make it possible ?
I know we can perhaps get married by Islamic law but How ? I being the bride do not have a male guardian ,  so will it even be possible ?
Thank You ,

Hi .

Hi ,
  Thank you for your reply . :) Can you please tell me how to go about doing it ? What kind of documents are needed and anything else I will need to do or know.
  Thankyou for your help

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