Can antihistamines cause shaky hands.

Can antihistamines cause shaky hands? I was having mild breathlessness after exposure to cold, I had past history of sinus related issue (ct scan of pns was clear, but doctor says sinusitis with allergy). The doctor suggested antihistamines and inhaler (rotohaler). After taking 1/2 days, the suffocation issue gone but, I felt pain below shoulder joint, my hands started shaking, if I pick my mobile or hold a cup of tea, my hand starts shaking, if I do heavy lifting/work then also hand shakes, also I observed that the shaking of hand happens with the rythm of heart beat. Also muscle pain started (now not there). The doctor prescribed b12 and d3 capsule but issue persists more or less. So could you please suggest whether it's side effect of the medicine or any other issue, it's 3 months since I suffering from this issue, and it happens randomly not regularly don't know what triggers the same.