Last day in her period. No bleeding. Fingered herself and after played with same finger in penis. Is that transmit HIV. No penteration happened at all?

No risk, no worry. HIV is sexually transmitted only by intercourse, i.e. penile penetration into vagina or rectum, or maybe mouth (very rare). Fingering and other hand-genital contact carries no risk, even with an HIV infected partner and even when genital fluids are used for lubrication. Don't worry about it.