The phrase 'encouraging the impression' is correct and can be used in written English.
You can use it to describe a situation where someone is doing something to strengthen the idea or opinion of someone else. For example, "The lecturer went out of their way to provide additional resources, encouraging the impression that the topic was worth studying."
But for all these immediate benefits, he risks encouraging the impression that his party is fixated on a subject that most voters do not much care about and at the expense of subjects they do care about, such as jobs, health care and the economy.
His approach to fighting the Islamic State, meanwhile, consists of allying with the Assad regime in Syria (and, by implication, its Iranian patrons), encouraging the impression that the U.S. is picking favorites among Islamic sects.
Although Fields encourages the impression that he has never lost a case, the assertion is dubious.
The migration of the "Liebestod" from the beginning to the end of "Tristan" encouraged the impression that the opera is a ritual of erotic suicide.
The General Synod of the Church of England is set up in the round so as to encourage the impression of consensual discussion amongst friends.
These austerities encourage the impression that one is watching life as it happens, and force the viewer to make sense of scenes and relationships glimpsed in medias res.
Those accounts, combined with intelligence reports that implicated Mr. Kim in the bombing of a South Korean airliner and other terrorist acts, encouraged the impression that Mr. Kim was somehow dissolute and, perhaps, a little unstable.
This may perhaps encourage the impression that plural quantification is only intelligible as singular quantification over non-empty sets of individuals.
One of several Madison Avenue executives who worked on Clinton's ad campaign, Deutsch encouraged the impression that he single-handedly created ads themed "For People, For a Change".
Twentieth-century coinages like 'meta-language' and 'metaphilosophy' encourage the impression that metaphysics is a study that somehow "goes beyond" physics, a study devoted to matters that transcend the mundane concerns of Newton and Einstein and Heisenberg.
I imagine though that this life-affirming Greek custom is under attack from the supposedly "hard-working" Germans, who, one gets the impression, have been encouraging the Greeks to toil harder in return for loans following the recent financial collapse.
