Can one say:
1-I am having to go there.
2-I have to go there.
(For emphasis, I suppose.)
Yes, some native speakers do use the present progressive form, either for emphasis, as you say, or during the period of "having to" itself, as here:
"What are you doing with MrQ's report? I thought it was finished."
"It's full of grammatical mistakes. I'm having to go through it line by line and correct it."
Unfortunately, some grammar books for ESL students ignore this usage, or present it as somehow ungrammatical.