No there is no membership card issued.
If you paid at a meet you yellow part of the membership form you filled out acts as you card. I would keep it and bring to the meets with you.
If you paid on line you would have some record of it being send.
Either way Rich has a list of members by state that he bring to the meets with him. Your names would be on that list.
Your membership is good for one year from when you purchased it and is good for any NASA meet any where in the country, state or National meets.
Hope this answers your question, If you have any others please feel free to contact me, I am the Ohio State Chairman my e-mail is firstname.lastname@example.org
Ohio State Chairman
NASA Executive Committee