Lately I've been coughing a lot for a month can it be ashma or phnenumia ?

Not necessarily. Post nasal drip, asthma and gastric reflux, medications such as angiotensin converting enzyme, smoking can be the cause of cough; if you have a cough that persists for several weeks, it may be worth speaking to your doctor to evaluate it if you suspect one of these causes.
Possibly. While it's possible that you could develop asthma later in life, that situation is less likely than an atypical pneumonia. If the cough is productive or if you're had fever/chills, pneumonia is more likely. It's also possible that you could be developing seasonal allergies that are kicking up with the recent weather change. See you doctor for a possible chest x-ray and allergy evaluation.
Maybe. Coughing can be due to a variety of things, such as asthma, pneumonia, post nasal drip, side effects of medication (ace inhibitors i.E lisinopril, enalapril, ect...), smoking, gastric regurgitation;talk to your doctor to send you for a spirometry to check for asthma.
Yes & other things. Chronic coughing originates in 4 areas: nose & sinuses (allergy, sinusitis), windpipe (laryngitis, throat cancer, stomach acid reflux), chest (asthma, bronchitis, pneumonia, cancer, tuberculosis), & digestive system (gastroesophageal reflux). Ignoring a chronic symptom like coughing is not a good idea. See your primary care physician for a complete evaluation.
Either. You could have either although pneumonia is usually associated with fever, discolored sputum and feeling poor. Asthmatics usually have wheezing and chest tightness with their cough but not always.