I think that a definite or correct answer to this question can only be provided by the mangaka himself/herself as someone else might entail the need for speculation. I'll provide my views, however.
We dont see for example, heroes who can manipulate ice or fire without artifacts , invisibility, people who can naturally fire beams, wind control, water control, animal control, etc. Almost all of the powers you mentioned here can be done by espers, except for invisibility and naturally fire beams, whatever kind of beams they may be. There's really no such thing as impossible when it comes to an author and his/her story. Anything can be made possible if the mangaka can create a situation to make things not previously included in his/her story to be possible.
However, the problem I see with ONE including, for example, invisibility and fire beams, and why I think we would not see them anytime soon, is that it is unoriginal. In One-Punch Man, most of the heroes apart from espers, acquired their abilities via training or some other means later in life. They were not born with them, which sets the story apart. Including a part where people are now born with different abilities would make it seem like Boku no Hero Academia or X-Men.
Although, again, who knows. The mangaka has control of the story so if he can make it work, then I have no complaints. So, yes, heroes can have any kind of powers in One-Punch Man if the mangaka wills it so.