Can you get hiv from a shallow cut?

Can you get hiv from a shallow cut? My cat cut me a few days on my leg, no blood that time. Today I started scratching the area the area without thinking, and it started bleeding a little. Didn't notice it at first, so rubbed it a bit and felt something wet and looked on my finger and saw a bit of blood. Turned out my leg was bleeding a bit. Is there any chance I could have bit blood my hand from someone else, and rubbed it in?

Can you get hiv from a shallow cut?
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