Not necessarily.

Rogue One does cause problems for ANH in the sense that they keep claiming that the Death Star is not yet “fully” operational.

The Death Star has lightspeed travel.

And the fully operational glitch can be corrected/explained away by stating that the Death Star went back to home base to take on more troops, ships (Ties and possibly a couple of Star Destroyers), other supplies, etc.

Just because the weapon was ready doesn’t mean that everything that was required for day-to-day operation of the battle station was ready/done.

Also, what Ady did for ANH:R would make no sense with all the activity buzzing around since the entire base on Scarif was destroyed by the Death Star. All the troops, officers and equipment gone.

My take is that the Death Star went into hyperspace and back to home base probably as soon as Darth Vader began pursuing the Tantive IV in the Devastator.