After having a larascopic hysterectomy can you still contract std's?

Yes: Std are primarily external genitalia infections. Your absent uterus means you can't conceive, but you can still get every single one of the std if you're not careful. Know your partner and use protection (even though you can't get pregnant.).

Yes : Yes you can. Gonorrhea and chlamydia are less likely without a cervix/uterus. Hiv, herpes, trichomoniasis, hpv and hepatitis b risk is unchanged.