No, Dispel Magic and Counterspell use a non-skilled ability check with no Arcana proficiency bonus.
Bards can add half their proficiency bonus to the check thanks to Jack of All Trades.
Hint: Look at spells helping with ability checks Enhance Ability, Guidance if you have time to prepare for dispel.
[ +- ] Spoiler meta info
Acererak is demi-god who put years of effort into building this place. You should expect your dispell magic against his magic to require highest possible DC, i.e. feel free to assume (and you will be very close to the truth) that everything magical is made through 9th level Wish spell here and dispel magic DC will be 19.