Yes, if someone clearly expresses that they do not want any interaction from you, continuing to try and interact with them despite their wishes would be considered a violation of their personal space and boundaries.
Respecting personal boundaries is essential in any social interaction. When someone communicates that they do not want to engage or interact with you, it is crucial to honor their wishes and give them the space they need. Ignoring their request for space can make them uncomfortable, upset, or even feel harassed.
If someone indicates that they need distance or time alone, it is best to respect their boundaries and give them the privacy they desire. Pushing for interaction after they have clearly stated their preferences is not only disrespectful but can also damage the trust and rapport in the relationship.
Always be mindful of others' feelings and boundaries, and practice empathy in your interactions. If you find yourself in a situation where someone is asking for space or distancing themselves from you, give them the time and respect they need, and avoid imposing yourself on them.