No. Like many similar tools, the MyHeritage Chromosome Browser is simplified. Each chromosome pair is represented on the browser by one visual bar, although in reality each of us has a pair of chromosomes, one inherited from our father and the other from our mother.
When the chromosome browser shows a matching segment, it doesn’t say whether the match occurred on the maternal or the paternal side of the chromosome and whether the same segment for the person we match is on their maternal or paternal side. If a segment is shown not to match (in gray), it means neither the maternal nor the paternal chromosome at that section of DNA matched either the maternal or paternal chromosome of the other person. But if a segment is shown to be a shared segment that both people have, you don’t see whether it is a maternal or paternal segment. In fact, it could be that the segment you are seeing is a combination of two or more mini-segments, some maternal and some paternal.
You might also notice that the Chromosome Browser shows 22 chromosomes, although humans, in fact, have 23 pairs of chromosomes. The chromosome that is not visualized is the last and 23rd one, the sex chromosome, and more specifically the X chromosome. The X chromosome is inherited differently from the other chromosomes and requires special consideration by genealogists. Adding support for the X chromosome is planned on the MyHeritage product roadmap as a future improvement.