Yes, platonic relationships are possible and are very common, just so long as both peoples intentions and understanding of the relationship are the same. Of course, there may be instances where one persons feelings may develop and therefore interfere with the relationship.

Can a romantic relationship be platonic?

A platonic relationship is one without romance but is still loving, loyal, respectful, and honest. Platonic relationships can involve intimacy like sex as long as feelings of passion are absent. A risk of sexual platonic relationships is that one person falls in love but its not reciprocated.