No, you can't say that. If you want to say how much you paid for the pair of shoes, you'd say "It (or 'They') COST me $100". 'Costed' would be incorrect in this context.
The past simple of verb 'cost', in this sense, is the same as the present. If you look in a grammar book, you'll find the tenses of this verb listed as cost-cost-cost.
I paid $100 for these shoes = They cost me $100.
By the way, the past simple form 'costed' does exist, but this is a different meaning of the verb 'cost'. If you cost something, you do a calculation to estimate its likely cost. For example "We initially costed the project at £5000". This is more common in British English than in American English.