This question may be as difficult to answer as “Define Love”.
Every human being is capable of love to one degree or another. The problem is, with a crack cocaine addict, his or her addiction will get in the way. You must understand the psychology of an addict. Nothing is more important to them than their drug. While they may have deep feelings for a person, that will be shoved aside to make room for their need for drugs. This is true whether the addict has been in a loving relationship for years before becoming an addict, or is an addict embarking on a new love interest.
If you are already in a relationship with someone who has become an addict, try to get them help.
Most people have heard that drugs not only affect the addict, but everyone they care about as well. If an addict will destroy a relationship that has lasted for years, it is probable that they will destroy one that is new. Things may be great when they have had their fix but when they are searching for it, things will not be pretty and nice. Most loved ones of addicts confess that when their addict needs a fix they can be not only mean, but on occasion, violent. They are unpredictable. Only one thing matters to them and that is getting more drugs.
Can a crack cocaine addict love another person? Yes, I believe they can but they do not have the ability to correctly display and recognize that love, let alone act on it. No matter how much they may care for another person, it is not going to be enough to overcome their need for the drug. It is not going to be enough to overcome their foul moods and/or violence when they need the drug.
Being addicted to drugs is all encompassing. It affects their mind, body, mood, actions, everything.Above all, the drug IS the most important thing in the world to them. Love is an emotion which can be complicated enough without adding the toxic mixture of addiction into it. Staying out of involvement with a drug addict is the best advice. If you are already in a relationship with someone who has become an addict, try to get them help. If you cannot, there may come a time when you have to make them choose, and they WILL choose the drug, unfortunately. Talk to a drug rehab professional for more help.