Running without a battery risks blowing important stuff up as the charging system may overload components. The battery absorbs the charge. Here's a quote from Shorai tech on the subject.

" It does NOT disconnect the battery from circuit on overcharge, as that will lead to blown Regulators and/or ECU...".

Also, a completely dead battery won't carry enough charge to run the bike even if jump starting it or kickstarting it.

Take spanner spinner's advice.