No, you cannot stamp your own passport. It must be done by an official authority.
Stamp act
Yes, you can request the immigration officer to stamp your passport.
Yes, did you get a stamp in your passport when you left the US?
No, I have never had any issues with a deported stamp on my passport.
No, having an Israeli stamp in your passport may prevent you from traveling to Iran.
Have you ever gotten a stamp in your passport from Canada when you traveled there?
Have you ever gotten a stamp in your passport from Croatia when you traveled there?
"Have you ever gotten a stamp in your passport from Jordan when you traveled there?"
"Have you ever gotten a stamp in your passport from Romania when you traveled there?"
"Have you ever gotten a stamp in your passport from Serbia when you traveled there?"
"Have you ever gotten a stamp in your passport from Sweden when you traveled there?"
"Have you ever gotten a stamp in your passport from Taiwan when you traveled there?"