Vacuum on the skin will not normally cause blood to flow through the skin. It can cause the skin to distend (push outward) from the fluid pressure behind it, and to stretch the capillaries under the skin.
Actual vacuum exposures have shown that even 20-30 minutes of exposure do not result in external bleeding - but they do result in massive bruising. Joseph Kittinger was exposed to near vacuum for an extended period due to a lost glove during his "skydive from space"; his hand swelled, and he had bruising upon return to surface, but did not lose blood through the skin. It took 3 hours for his hand to recover to functional.
It is possible that extremely dry skin could crack and bleed from the distention caused by vacuum. This has not been seen in the handful of known vacuum exposures.
Loss of moisture through the eyes, mucus membranes, and lungs are more concerning. Likewise, the very thin membrane of the lining of the nose is much easier to penetrate, and so vacuum exposure could cause nosebleed much more easily than skin surface exposure.
Accordining to the Wikipedia entry, 6 people have suffered high quality vacuum exposure - counting Kittinger - and of them, the three fatalities were Soyuz 11's 3-man crew, who were depressurized for an extended period during reentry.