By the definition provided in the question, the answer is probably closer to yes than no, however the Amish would consider that definition a decidedly "English" view. Meaning that their concept of community and order, "Ordnung" it is not that simple.
“The order is not written down. The people just know it, that’s all.”
Rather than a packet or rules to memorize, the Ordnung is the
“understood” behavior by which the Amish are expected to lfe. In the
same way that the rules of grammar are learned by children, so the
Ordnung, the grammar of order,
The general life principle that the Amish live by could best be described as:
God has provided everything and he is the sole owner of everything, we the caretakers of that which he has provided for us.
This wording is mine from my dealings with the Amish of Indiana, Illinois, and Kentucky, and should not be considered as my claiming it to be an official religious doctrine.
If by the definition all three characters are absolute rights then the answer is no.
The concept of Usage would infer that you have the first right to make use of your equipment or items. In the Amish culture the Church has the first right of usage. If church comes for something of yours then you are expected to give it to the church regardless of your need. The expectation and assumption of the community is that the Elders do not abuse this, though through western eyes I suspect many times we would consider it abusive. The church elders do make use of this, and quite often. It is done privately, and quietly and it is not something that the Amish gossip about.
- Usufruct (right to benefit/profit from these means of production - e.g. sell the grain grown in the field)
For the most part yes but again the church could come in and claim some or all of it. This rarely happens and most times as a form of penance for breaking a the Ordnung.
The community is considered first for anything an Amish man. If something they produce is in need by the community they are forbidden to sell it to the "English" (they don't care that you came from South America or China or where ever you are either Amish, Mennonite, Brethren or English.) Even if they could get considerably more from elsewhere. In addition if they need something they are expected to buy from the Amish when possible even if it is cheaper/better from the "English."
The Amish are also expected not to be exploitative of each other in their dealings. So while they may be the only producer of a piece of furniture in a community, and could make a huge profit selling it out side of the community, they are expected to provide it for a price that is reasonable with respect to its costs to other Amish.
- Alienation (right to transfer the good to others)
This is probably where the definition is closest to no. Anything in the community is expected to stay in the community if it is needed in the community. This is a lot like China's policy. It is quite rare for the Amish to move out of a community. All that I know of is those that retired tend to go to a New Order Amish Retirement community. In those cases the farms and property go to their sons.
All of this comes with the caveat that the church will abide the laws of the State and US with regards to possession and ownership should a member wish to exert them. However doing so is likely to result in first shunning and eventually being excommunicated from the church.