Certainly not, most Roman punishments were meant to fit the crime...

you had "the sack" culleus - for patricide (a rooster, a dog, a monkey and a viper were sewn up with you in it)

crucifixion ad crucem damnare (things like sedition)

burning crematio (stuff like infidelity)

double-prolonged yoke or trestle furca

decapitation decollatio/capitis amputatio (this was the especially merciful one, generally reserved for Roman citizens)

thrown to the beasts obisi ad bestias

thrown from the Tarpeian Rock deicere e saxo

decimation (the military penalty if a unit was determined to be cowardly. One in every 10 soldiers lined up would be executed)

...and bloodless killing with a rope strangulatio. This was as close to a standard method as it came. Since spilling blood inside the city was a big taboo it would make sense that executions done within a city like Rome use this method.

From this list you can see that among the alternatives, apart from decapitation which is reserved for citizens, strangulation is the most "normal" execution that doesn't require any special equipment or skill.