Of course you can ask the attorney to explain the basis for his/her legal fees and services pricing.
Any attorney worth his/her salt and who has the requisite amount of humility and empathy will be willing to provide you with such an explanation. Indeed, any attorney that would be offended by a request to elaborate on the bases for his/her billing rates and services pricing is probably an attorney who has something to hide with regard to fees (and perhaps other flaws and failings).
Sure, you can ask a lawyer to give you quote for a flat fee or an estimate of fees or a promise not to charge up to a certain amount. That does not mean that the attorney must negotiate with you or make concessions as to what he/she charges, but an attorney is certainly not prevented from negotiating billing rates and prices with you.
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