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Yes you can remove the black tube and take it outside use a hose to clean it out, you may need to stick something to there if it's really clogged up and it usually plugs up at the bend in the bottom of the tube, you also want to check the tube that goes into the freezer a black tube connects to, number 315 on this diagram, make sure that's clear if not to do is the inside the freezer behind the back panel this can be a pain you have an ice maker between then take the back panel off, sometimes these will freeze up right underneath the evaporator coils if that's the case then take boiling water and pour over the ice until it all melts and drains freely through the tube.
How do I remove that black tube from the back of the refrigerator? Can I just pull it out from the back where it connects to the inside of the refrigerator?