Yes, you can remove blackheads — but not by squeezing them out with your fingers. This could just make things worse and cause an infection. Blackheads and pimples can be dealt with using a blackhead removal tool.
Generally, blackheads dwell deeper below the skin, thereby making their removal more difficult. The annoying black dots that most commonly appear on the nose, cheeks and ears last longer than other pimples and lead people to seek remedies literally in their own hands.
Many people deal with blackheads on their nose by squeezing them out, only to find that this is a temporary solution. If you cannot resist the impulse and to squeeze them, make sure your hands are as sterile as possible to minimize the possibility of infection. Wash your face before and after you squeeze and make sure you wash your hands before touching your face to avoid depositing oils into the pores. Another possibility for blackhead removal is purchasing nose strips that dry on your face and are then quickly removed to unclog the pore. Special tools are available at your pharmacy designed to extract blackheads using a depression technique.
Removing blackheads from other parts of your face can be a bit tricky and I would not recommend self removal. You may be digging a hole in your face without successfully removing the blackhead, creating a bigger problem. In these situations, it is recommended that you consult your dermatologist.