Certainly, in (at least) four ways.
In your first example, the thing doing the seeking is "requests". Presumably the requests are made by people. Of course in real life it is the people doing the seeking. The "requests" are just a type or means of doing this seeking. So if the requests are a form of some kind, perhaps on paper, perhaps on a computer, it is not the paper or the web page that is seeking something, but the person who filled it out. This is normal and common: we are talking about the means by which a person seeks. "The requests seek ..." "The phone call seeks ..." Etc.
Your second example is much less common and I, for one, find it strange. Clearly it is not the vehicles themselves that seek to be imported, but the owners of those vehicles who seek to import them. People speak like this occasionally, ascribing an action or motive to an inanimate object -- or to a plant or animal -- when what they really mean is that some person who owns or is otherwise responsible for that object is taking that action or has that motive.
A third way is when we ascribe something to a group or an office. Like, "The committee decided ..." or "The company worked on this problem ..." The company, as a company, as a corporate entity, is just a piece of paper. You could say that it didn't literally work on anything, it just sat there in the filing cabinet. But of course what we mean is that the people who make up the company did this.
Finally, an inanimate object is capable of seeking (or performing some other action), if not literally than at least in a way analogous to a person. Like we often say, "The computer searched the files" or "The car tried to start".