Well, with the recent ROE vs WADE situation I wouldn't say anything is impossible . Of course regulations would help.
That "right" was not directly covered in the constitution. It was an interpretation of the constitution's intent. Actually changing our constitution is VERY difficult. Iw as intended to be difficult, so that the constitution wouldn't constantly change depending on who is in power, politically.
But, the overturn of Roe V Wade does point out that we have a conservative, Republican Supreme Court, so any future rulings on gun laws in this court will probably favor the Gun manufacturers and weaker gun laws.
CD