NO. STDs cannot be transmitted through toilet paper.
Once the STD is out of the body the STD cannot survive very long and will die quickly.
To get an STD you really need to have sex with someone who has it.
It can be possible to get an STD also through licking a girls vagina when she has an STD as well but getting an STD through bathing, toilet seats, toilet paper etc is not possible.
But even if you could get STD through toilet paper it would be gross to use toilet paper someone else has used.
So you would have to use someone else's toilet paper that they wiped their but with and then wipe your vagina or butt with the toilet paper.
That would be really gross.