I don't think you would want to use hydrogen peroxide since peroxides tend to be really good oxidizers and you will possibly end up oxidizing your DMT to DMT-oxide which is probably not what you want. Since you probably are referring to the 3% store-bought kind (which can be turned into a 30% solution but takes some time and equipment), the acidity will probably not be great at all, probably near 7. Wikipedia says it's pH is 6.2 at 99% purity and as low as 4.2 in a 60% solution which is pretty difficult to obtain without ordering it or working in a lab. Also, the dissociation constant (pKa) given on wikipedia is 11.75 which isn't very high at all (lower pKa = higher acidity) so you aren't going to have a very strong acid either. Also, it decomposes at higher temperature so if you have to do any process with it that includes heat, you'd just end up boiling it off and turning it into water which won't help your situation.
Hope that answer helped. Try another acid, you might just get lucky.
Note: Most compounds, even bases, can act as acids; it just depends on the reaction and environment that compound is in. Of course, don't try using NaOH as an acid because that requires some uncommon environmental settings not available to most people.