Assuming your engine is not trashed from lack of oil, of course an aluminum pan can be repaired and hot oil has nothing to do with it.
A good welder can MIG or TIG weld it and it will be good forever.
It’s better that the pan be removed for this procedure.
Aluminum is routinely welded all the time. Being involved in the antique motorcycle world, I have seen rare, pricy, and hard to find engine cases exploded from fatigued connecting rods. These shrapnel cases are MIG/TIG welded back together, main bearing races align bored, and good to go; and they take a lot more of a beating than an oil pan does along with being immersed in hot oil.
If you can’t do the work, ask the shop if they will do the pan R and R and then take the pan to a good welding shop yourself.
(That’s assuming the pan is not trashed and the problem is nothing more severe than a crack, large or small.)