Can you wear a tie with men's short sleeve shirts?
Unless you're wearing a jacket on top, wearing a short-sleeved shirt with a tie isn't recommended. Ties are traditionally associated with more formal attire while men's short sleeve shirts are generally considered more casual. Combining the two can create a visual discord as it merges formal and casual elements in a way that appears incongruent.
Can you wear men's short sleeve shirts to a wedding?
Generally speaking, a long sleeve formal shirt is better suited to a wedding. However if it's a particularly hot day, a well-fitted short-sleeve shirt can be an alternative option. Note: you should always assess the overall tone of the event and consider the preferences of the couple getting married.