Yes it is possible. Since you are getting a negative TPHA then the VDRL will show a reactive number probably for years but it will keep geting lower. But if you never had syphilis then I do not know why it keeps showing reactive.
I would follow up with the Dr, maybe try to get him to write a note saying that you do not have syphilis and the reasons why your test is showing reactive.
but is it possible to become my vdrl non reactive..?
follow up with yuor pysician , self medicating is not promoted here.