The short answer to that question is ‘no’. Tobacco is a New World good, and thus, not available to Europe until after 1492. The native peoples of the Americas used tobacco primarily for ritual purposes.
The longer answer is that ‘smoking’, though not as we understand it today (with tobacco), was a factor in cultures other than Europe, though even those never caught on much in Europe, even after the Crusades.
The history of smoking dates back to as early as 5000 BC in shamanistic rituals. Many ancient civilizations, such as the Babylonians, Indians and Chinese, burnt incense as a part of religious rituals, as did the Israelites and the later Catholic and Orthodox Christian churches. Smoking in the Americas probably had its origins in the incense-burning ceremonies of shamans but was later adopted for pleasure, or as a social tool. The smoking of tobacco, as well as various hallucinogenic drugs was used to achieve trances and to come into contact with the spirit world.
Substances such as Cannabis, clarified butter (ghee), fish offal, dried snake skins and various pastes molded around incense sticks dates back at least 2000 years. Fumigation (dhupa) and fire offerings (homa) are prescribed in the Ayurveda for medical purposes, and have been practiced for at least 3,000 years while smoking, dhumrapana (literally “drinking smoke”), has been practiced for at least 2,000 years. Before modern times these substances have been consumed through pipes, with stems of various lengths or chillums.
Cannabis smoking was common in the Middle East before the arrival of tobacco, and was early on a common social activity that centered around the type of water pipe called a hookah. Smoking, especially after the introduction of tobacco, was an essential component of Muslim society and culture and became integrated with important traditions such as weddings, funerals and was expressed in architecture, clothing, literature and poetry.
Cannabis smoking was introduced to Sub-Saharan Africa through Ethiopia and the east African coast by either Indian or Arab traders in the 13th century or earlier and spread on the same trade routes as those that carried coffee, which originated in the highlands of Ethiopia. It was smoked in calabash water pipes with terra cotta smoking bowls, apparently an Ethiopian invention which was later conveyed to eastern, southern and central Africa.”
Cannabis was grown in great quantity throughout Europe in the Middle Ages, but not to smoke. It was to make hemp: “Cannabis hemp was widely grown across Britain in the Middle Ages, from at least 800 to 1800 AD, though the amount grown varied widely through the centuries. It was mainly grown for fibre which was used to make sails, ropes, fishing nets and clothes. Old clothes were recycled into paper. Oil was produced from the seeds and was burned in lamps. It may also have been used as a folk medicine and for food, but it’s a mystery whether or not it was taken as a drug.” http://www.ukcia.org/culture/history/hmpukhis.php