Absolutely, men can and do wear engagement rings. Although it's more common in Western cultures for only women to wear engagement rings, this is changing, and it's not unusual for men to wear them as well. This can depend on personal preference, cultural practices or a desire for both partners to have a symbol of their mutual commitment.
In some cultures and countries, it's traditional for both men and women to wear engagement rings. For instance, in Sweden, both members of the couple exchange simple bands upon their engagement.
Furthermore, some same-sex couples choose to have both partners wear engagement rings. And even in heterosexual relationships, some men choose to wear an engagement ring as a symbol of their upcoming marriage.
The design of men's engagement rings can vary greatly, from simple bands to rings with diamonds or other gemstones. The choice of style, like the decision to wear a ring itself, is largely a matter of personal preference.
It's important to remember that the purpose of an engagement ring is to symbolize love and commitment. As such, the decision to wear one, regardless of gender, is a personal one and should reflect the tastes and values of the individual.