If a man and woman have sex and 20 mins later she takes the condoms and turns it inside out over her fingers and inserted it into her could she become pregnant using a non spermicide and latex free condom? odd question between a friend of mine & me?

Semen is fluid and sticky so if any sticks to her fingers or the inverted condom, yes she could. Though the odds are low

In theory this can produce a pregnancy. The sperm in the ejaculate, protected within the semen could survive the transfer into the vagina where they could then make the journey into the Fallopian tube For conception. The risk would be less than with natural intercourse but not zero. It only takes one to do the job.

She could not only get pregnant, she could get STDs as well. Safe sex: https://www.hopkinsmedicine.org/health/wellness-and-prevention/safer-sex-guidelines