On the whole, no, since becoming a monk in the medieval period wasn't as simple as simply walking up and filling in an application. It varied, of course, depending on the time period, but most monasteries expected a donation (usually of land) to come with an applicant.

Of course, if your farm's been devastated by war/disaster, you'll probably still own the land itself, so becoming a monk isn't totally out of the question, but there are much easier ways to survive that don't involve giving up all your personal possessions, freedoms and sex life. (For those of you wondering, the most common would be to sell your land and then rent it back from the new owner, or to get a loan using the land as collateral. Even voluntarily becoming a serf/unfree tenant of the monastery was an easier option than becoming a monk.) If you don't own the land, and you were either a tenant or an unfree peasant, then you probably wouldn't have been able to join a monastery anyway, even for pious reasons, due to your poverty and status. The only other option, which is only available from the middle of the 12th century onwards, is to become a lay brother, or conversus, at your local Cistercian monastery. This would mean that you would take monastic vows, but instead of praying would spend your time working the monastery's lands, with a strict social division between you and the choir monks. They would feed and house you though.

I wrote a much longer answer about monastic recruitment here, with additional info in this answer, which also include some further reading.