Deck or Engine?
You can but it may be limiting to your ability to sit for license exams.
For deck, ATBs count as 1 for 2 time towards an unlimited tonnage license. 1 day of sea service for 2 days on board so 90 days on board only gets you 45 days towards your 360.
46 CFR 11.211(d)
Service on Articulated Tug Barges (ATBs) and Integrated Tug Barges (ITBs). Service on ATB or Dual Mode ITB units is creditable for an original deck officer endorsement or raise of grade of any deck officer endorsement. Service on an ATB or Dual Mode ITB with an aggregate tonnage of 1,600 GRT/3,000 GT or more is creditable on a two-for-one basis (2 days experience equals 1 day of creditable service) for up to 50 percent of the total service on vessels of 1,600 GRT/3,000 GT or more required for an unlimited officer endorsement. The remaining required service on vessels of more than 1,600 GRT/3,000 GT must be obtained on conventional vessels or Push Mode ITBs.
For Engine you have to consider the HP of the ATB. You need 50% of your time to be above 4,000 HP. That is small for an ATB, almost all Crowley ATBs are much higher than that.
46 CFR 11.503(b)
When an applicant for an original or raise of grade of an engineer endorsement, other than a DDE, has not obtained at least 50 percent of the required experience on vessels of 4,000 HP/3,000 kW or more, a propulsion power limitation is placed on the MMC based on the applicant's qualifying experience. The endorsement is limited to the maximum propulsion power on which at least 25 percent of the required experience was obtained, or 150 percent of the maximum propulsion power on which at least 50 percent of the service was obtained, whichever is higher. Limitations are in multiples of 1,000 HP/750 kW, using the next higher figure when an intermediate horsepower is calculated. When the limitation as calculated equals or exceeds 10,000 HP/7,500 kW, an unlimited propulsion power endorsement.