No risk for HIV transmission.
These cuts are not an effective route for infected fluid to reach out to your blood stream, which is essential for HIV transmission.
Ideally, if your fingers were chopped off and you were fingering some one with those profusely bleeding finger then there would have been a degree of risk to evaluate. However, we both are glad that's certainly not the case right? Or, you would not have been here typing your fingers today. Hence, there's no risk, no testing would be necessary.